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Finding the Fourth Proportional to 16,405.76, 24,618.69 and 6,545.90

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Solution

The fourth proportional to 16,405.76, 24,618.69 and 6,545.90 is: 9,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.76 : 24,618.69 = 6,545.90 : x
  2. Step 2: Convert to fraction form
    16,405.76/24,618.69 = 6,545.90/x
  3. Step 3: Cross multiply
    16,405.76x = 24,618.69 × 6,545.90
  4. Step 4: Simplify right side
    16,405.76x = 161,151,359.78
  5. Step 5: Solve for x
    x = 161,151,359.78/16,405.76
  6. Step 6: Final answer
    x = 9,822.86

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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.