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Finding the Fourth Proportional to 16,074.70, 22,179.50 and 9,702.32

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Solution

The fourth proportional to 16,074.70, 22,179.50 and 9,702.32 is: 13,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.70 : 22,179.50 = 9,702.32 : x
  2. Step 2: Convert to fraction form
    16,074.70/22,179.50 = 9,702.32/x
  3. Step 3: Cross multiply
    16,074.70x = 22,179.50 × 9,702.32
  4. Step 4: Simplify right side
    16,074.70x = 215,192,613.38
  5. Step 5: Solve for x
    x = 215,192,613.38/16,074.70
  6. Step 6: Final answer
    x = 13,387.04

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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.