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Finding the Fourth Proportional to 12,382.80, 18,545.40 and 7,717.20

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Solution

The fourth proportional to 12,382.80, 18,545.40 and 7,717.20 is: 11,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.80 : 18,545.40 = 7,717.20 : x
  2. Step 2: Convert to fraction form
    12,382.80/18,545.40 = 7,717.20/x
  3. Step 3: Cross multiply
    12,382.80x = 18,545.40 × 7,717.20
  4. Step 4: Simplify right side
    12,382.80x = 143,118,560.88
  5. Step 5: Solve for x
    x = 143,118,560.88/12,382.80
  6. Step 6: Final answer
    x = 11,557.85

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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.