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Finding the Fourth Proportional to 22,806.38, 31,456.97 and 15,636.95

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Solution

The fourth proportional to 22,806.38, 31,456.97 and 15,636.95 is: 21,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.38 : 31,456.97 = 15,636.95 : x
  2. Step 2: Convert to fraction form
    22,806.38/31,456.97 = 15,636.95/x
  3. Step 3: Cross multiply
    22,806.38x = 31,456.97 × 15,636.95
  4. Step 4: Simplify right side
    22,806.38x = 491,890,831.57
  5. Step 5: Solve for x
    x = 491,890,831.57/22,806.38
  6. Step 6: Final answer
    x = 21,568.12

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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.