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Finding the Fourth Proportional to 16,635.38, 22,957.73 and 9,562.25

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Solution

The fourth proportional to 16,635.38, 22,957.73 and 9,562.25 is: 13,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.38 : 22,957.73 = 9,562.25 : x
  2. Step 2: Convert to fraction form
    16,635.38/22,957.73 = 9,562.25/x
  3. Step 3: Cross multiply
    16,635.38x = 22,957.73 × 9,562.25
  4. Step 4: Simplify right side
    16,635.38x = 219,527,599.13
  5. Step 5: Solve for x
    x = 219,527,599.13/16,635.38
  6. Step 6: Final answer
    x = 13,196.43

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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.