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Finding the Fourth Proportional to 14,793.53, 20,414.13 and 8,077.82

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Solution

The fourth proportional to 14,793.53, 20,414.13 and 8,077.82 is: 11,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.53 : 20,414.13 = 8,077.82 : x
  2. Step 2: Convert to fraction form
    14,793.53/20,414.13 = 8,077.82/x
  3. Step 3: Cross multiply
    14,793.53x = 20,414.13 × 8,077.82
  4. Step 4: Simplify right side
    14,793.53x = 164,901,565.53
  5. Step 5: Solve for x
    x = 164,901,565.53/14,793.53
  6. Step 6: Final answer
    x = 11,146.87

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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.