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Finding the Fourth Proportional to 21,523.84, 32,287.44 and 8,375.20

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Solution

The fourth proportional to 21,523.84, 32,287.44 and 8,375.20 is: 12,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.84 : 32,287.44 = 8,375.20 : x
  2. Step 2: Convert to fraction form
    21,523.84/32,287.44 = 8,375.20/x
  3. Step 3: Cross multiply
    21,523.84x = 32,287.44 × 8,375.20
  4. Step 4: Simplify right side
    21,523.84x = 270,413,767.49
  5. Step 5: Solve for x
    x = 270,413,767.49/21,523.84
  6. Step 6: Final answer
    x = 12,563.45

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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.