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Finding the Fourth Proportional to 15,757.71, 23,633.31 and 7,434.15

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Solution

The fourth proportional to 15,757.71, 23,633.31 and 7,434.15 is: 11,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.71 : 23,633.31 = 7,434.15 : x
  2. Step 2: Convert to fraction form
    15,757.71/23,633.31 = 7,434.15/x
  3. Step 3: Cross multiply
    15,757.71x = 23,633.31 × 7,434.15
  4. Step 4: Simplify right side
    15,757.71x = 175,693,571.54
  5. Step 5: Solve for x
    x = 175,693,571.54/15,757.71
  6. Step 6: Final answer
    x = 11,149.69

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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.