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Finding the Fourth Proportional to 16,456.36, 24,695.49 and 7,691.95

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Solution

The fourth proportional to 16,456.36, 24,695.49 and 7,691.95 is: 11,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.36 : 24,695.49 = 7,691.95 : x
  2. Step 2: Convert to fraction form
    16,456.36/24,695.49 = 7,691.95/x
  3. Step 3: Cross multiply
    16,456.36x = 24,695.49 × 7,691.95
  4. Step 4: Simplify right side
    16,456.36x = 189,956,474.31
  5. Step 5: Solve for x
    x = 189,956,474.31/16,456.36
  6. Step 6: Final answer
    x = 11,543.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.