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Finding the Fourth Proportional to 18,176.86, 27,280.14 and 9,414.28

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Solution

The fourth proportional to 18,176.86, 27,280.14 and 9,414.28 is: 14,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176.86 : 27,280.14 = 9,414.28 : x
  2. Step 2: Convert to fraction form
    18,176.86/27,280.14 = 9,414.28/x
  3. Step 3: Cross multiply
    18,176.86x = 27,280.14 × 9,414.28
  4. Step 4: Simplify right side
    18,176.86x = 256,822,876.40
  5. Step 5: Solve for x
    x = 256,822,876.40/18,176.86
  6. Step 6: Final answer
    x = 14,129.11

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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.