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Finding the Fourth Proportional to 22,039, 30,414.54 and 12,103

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Solution

The fourth proportional to 22,039, 30,414.54 and 12,103 is: 16,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039 : 30,414.54 = 12,103 : x
  2. Step 2: Convert to fraction form
    22,039/30,414.54 = 12,103/x
  3. Step 3: Cross multiply
    22,039x = 30,414.54 × 12,103
  4. Step 4: Simplify right side
    22,039x = 368,107,177.62
  5. Step 5: Solve for x
    x = 368,107,177.62/22,039
  6. Step 6: Final answer
    x = 16,702.54

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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.