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Finding the Fourth Proportional to 23,179.68, 34,764 and 10,691.88

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Solution

The fourth proportional to 23,179.68, 34,764 and 10,691.88 is: 16,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.68 : 34,764 = 10,691.88 : x
  2. Step 2: Convert to fraction form
    23,179.68/34,764 = 10,691.88/x
  3. Step 3: Cross multiply
    23,179.68x = 34,764 × 10,691.88
  4. Step 4: Simplify right side
    23,179.68x = 371,692,516.32
  5. Step 5: Solve for x
    x = 371,692,516.32/23,179.68
  6. Step 6: Final answer
    x = 16,035.27

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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.