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Finding the Fourth Proportional to 22,113.86, 30,517.14 and 12,177.86

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Solution

The fourth proportional to 22,113.86, 30,517.14 and 12,177.86 is: 16,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113.86 : 30,517.14 = 12,177.86 : x
  2. Step 2: Convert to fraction form
    22,113.86/30,517.14 = 12,177.86/x
  3. Step 3: Cross multiply
    22,113.86x = 30,517.14 × 12,177.86
  4. Step 4: Simplify right side
    22,113.86x = 371,633,458.52
  5. Step 5: Solve for x
    x = 371,633,458.52/22,113.86
  6. Step 6: Final answer
    x = 16,805.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.