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Finding the Fourth Proportional to 10,450.50, 15,732.76 and 9,531.96

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Solution

The fourth proportional to 10,450.50, 15,732.76 and 9,531.96 is: 14,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.50 : 15,732.76 = 9,531.96 : x
  2. Step 2: Convert to fraction form
    10,450.50/15,732.76 = 9,531.96/x
  3. Step 3: Cross multiply
    10,450.50x = 15,732.76 × 9,531.96
  4. Step 4: Simplify right side
    10,450.50x = 149,964,039.01
  5. Step 5: Solve for x
    x = 149,964,039.01/10,450.50
  6. Step 6: Final answer
    x = 14,349.94

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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.