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Finding the Fourth Proportional to 22,636.97, 31,238.42 and 12,565.38

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Solution

The fourth proportional to 22,636.97, 31,238.42 and 12,565.38 is: 17,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.97 : 31,238.42 = 12,565.38 : x
  2. Step 2: Convert to fraction form
    22,636.97/31,238.42 = 12,565.38/x
  3. Step 3: Cross multiply
    22,636.97x = 31,238.42 × 12,565.38
  4. Step 4: Simplify right side
    22,636.97x = 392,522,555.07
  5. Step 5: Solve for x
    x = 392,522,555.07/22,636.97
  6. Step 6: Final answer
    x = 17,339.89

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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.