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Finding the Fourth Proportional to 10,450.25, 15,732.38 and 9,531.71

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Solution

The fourth proportional to 10,450.25, 15,732.38 and 9,531.71 is: 14,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.25 : 15,732.38 = 9,531.71 : x
  2. Step 2: Convert to fraction form
    10,450.25/15,732.38 = 9,531.71/x
  3. Step 3: Cross multiply
    10,450.25x = 15,732.38 × 9,531.71
  4. Step 4: Simplify right side
    10,450.25x = 149,956,428.94
  5. Step 5: Solve for x
    x = 149,956,428.94/10,450.25
  6. Step 6: Final answer
    x = 14,349.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.