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Finding the Fourth Proportional to 17,532.84, 24,194.43 and 9,573.54

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Solution

The fourth proportional to 17,532.84, 24,194.43 and 9,573.54 is: 13,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532.84 : 24,194.43 = 9,573.54 : x
  2. Step 2: Convert to fraction form
    17,532.84/24,194.43 = 9,573.54/x
  3. Step 3: Cross multiply
    17,532.84x = 24,194.43 × 9,573.54
  4. Step 4: Simplify right side
    17,532.84x = 231,626,343.38
  5. Step 5: Solve for x
    x = 231,626,343.38/17,532.84
  6. Step 6: Final answer
    x = 13,211.00

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.