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Finding the Fourth Proportional to 21,706.84, 32,523.14 and 11,853.06

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Solution

The fourth proportional to 21,706.84, 32,523.14 and 11,853.06 is: 17,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.84 : 32,523.14 = 11,853.06 : x
  2. Step 2: Convert to fraction form
    21,706.84/32,523.14 = 11,853.06/x
  3. Step 3: Cross multiply
    21,706.84x = 32,523.14 × 11,853.06
  4. Step 4: Simplify right side
    21,706.84x = 385,498,729.81
  5. Step 5: Solve for x
    x = 385,498,729.81/21,706.84
  6. Step 6: Final answer
    x = 17,759.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.