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Finding the Fourth Proportional to 10,429.54, 15,644.16 and 2,532.12

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Solution

The fourth proportional to 10,429.54, 15,644.16 and 2,532.12 is: 3,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.54 : 15,644.16 = 2,532.12 : x
  2. Step 2: Convert to fraction form
    10,429.54/15,644.16 = 2,532.12/x
  3. Step 3: Cross multiply
    10,429.54x = 15,644.16 × 2,532.12
  4. Step 4: Simplify right side
    10,429.54x = 39,612,890.42
  5. Step 5: Solve for x
    x = 39,612,890.42/10,429.54
  6. Step 6: Final answer
    x = 3,798.14

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