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Finding the Fourth Proportional to 16,422.92, 22,662.28 and 9,708.83

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Solution

The fourth proportional to 16,422.92, 22,662.28 and 9,708.83 is: 13,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.92 : 22,662.28 = 9,708.83 : x
  2. Step 2: Convert to fraction form
    16,422.92/22,662.28 = 9,708.83/x
  3. Step 3: Cross multiply
    16,422.92x = 22,662.28 × 9,708.83
  4. Step 4: Simplify right side
    16,422.92x = 220,024,223.93
  5. Step 5: Solve for x
    x = 220,024,223.93/16,422.92
  6. Step 6: Final answer
    x = 13,397.39

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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.