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Finding the Fourth Proportional to 21,545.71, 32,318.32 and 8,407.30

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Solution

The fourth proportional to 21,545.71, 32,318.32 and 8,407.30 is: 12,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,545.71 : 32,318.32 = 8,407.30 : x
  2. Step 2: Convert to fraction form
    21,545.71/32,318.32 = 8,407.30/x
  3. Step 3: Cross multiply
    21,545.71x = 32,318.32 × 8,407.30
  4. Step 4: Simplify right side
    21,545.71x = 271,709,811.74
  5. Step 5: Solve for x
    x = 271,709,811.74/21,545.71
  6. Step 6: Final answer
    x = 12,610.85

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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.