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Finding the Fourth Proportional to 16,278.62, 22,463.82 and 9,204.86

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Solution

The fourth proportional to 16,278.62, 22,463.82 and 9,204.86 is: 12,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.62 : 22,463.82 = 9,204.86 : x
  2. Step 2: Convert to fraction form
    16,278.62/22,463.82 = 9,204.86/x
  3. Step 3: Cross multiply
    16,278.62x = 22,463.82 × 9,204.86
  4. Step 4: Simplify right side
    16,278.62x = 206,776,318.17
  5. Step 5: Solve for x
    x = 206,776,318.17/16,278.62
  6. Step 6: Final answer
    x = 12,702.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.