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Finding the Fourth Proportional to 16,872.04, 23,287.92 and 9,702.74

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Solution

The fourth proportional to 16,872.04, 23,287.92 and 9,702.74 is: 13,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.04 : 23,287.92 = 9,702.74 : x
  2. Step 2: Convert to fraction form
    16,872.04/23,287.92 = 9,702.74/x
  3. Step 3: Cross multiply
    16,872.04x = 23,287.92 × 9,702.74
  4. Step 4: Simplify right side
    16,872.04x = 225,956,691.12
  5. Step 5: Solve for x
    x = 225,956,691.12/16,872.04
  6. Step 6: Final answer
    x = 13,392.38

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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.