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Finding the Fourth Proportional to 10,324.92, 15,565.17 and 9,656.76

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Solution

The fourth proportional to 10,324.92, 15,565.17 and 9,656.76 is: 14,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.92 : 15,565.17 = 9,656.76 : x
  2. Step 2: Convert to fraction form
    10,324.92/15,565.17 = 9,656.76/x
  3. Step 3: Cross multiply
    10,324.92x = 15,565.17 × 9,656.76
  4. Step 4: Simplify right side
    10,324.92x = 150,309,111.05
  5. Step 5: Solve for x
    x = 150,309,111.05/10,324.92
  6. Step 6: Final answer
    x = 14,557.90

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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.