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Finding the Fourth Proportional to 22,633.52, 31,233.96 and 12,562

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Solution

The fourth proportional to 22,633.52, 31,233.96 and 12,562 is: 17,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.52 : 31,233.96 = 12,562 : x
  2. Step 2: Convert to fraction form
    22,633.52/31,233.96 = 12,562/x
  3. Step 3: Cross multiply
    22,633.52x = 31,233.96 × 12,562
  4. Step 4: Simplify right side
    22,633.52x = 392,361,005.52
  5. Step 5: Solve for x
    x = 392,361,005.52/22,633.52
  6. Step 6: Final answer
    x = 17,335.39

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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.