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Finding the Fourth Proportional to 12,410.82, 18,545.36 and 9,432.90

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Solution

The fourth proportional to 12,410.82, 18,545.36 and 9,432.90 is: 14,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.82 : 18,545.36 = 9,432.90 : x
  2. Step 2: Convert to fraction form
    12,410.82/18,545.36 = 9,432.90/x
  3. Step 3: Cross multiply
    12,410.82x = 18,545.36 × 9,432.90
  4. Step 4: Simplify right side
    12,410.82x = 174,936,479.18
  5. Step 5: Solve for x
    x = 174,936,479.18/12,410.82
  6. Step 6: Final answer
    x = 14,095.48

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.