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Finding the Fourth Proportional to 16,214.38, 22,377.11 and 9,046.55

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Solution

The fourth proportional to 16,214.38, 22,377.11 and 9,046.55 is: 12,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.38 : 22,377.11 = 9,046.55 : x
  2. Step 2: Convert to fraction form
    16,214.38/22,377.11 = 9,046.55/x
  3. Step 3: Cross multiply
    16,214.38x = 22,377.11 × 9,046.55
  4. Step 4: Simplify right side
    16,214.38x = 202,435,655.18
  5. Step 5: Solve for x
    x = 202,435,655.18/16,214.38
  6. Step 6: Final answer
    x = 12,484.95

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Why These Related Problems?

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