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Finding the Fourth Proportional to 19,877.20, 29,789.88 and 8,177.20

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Solution

The fourth proportional to 19,877.20, 29,789.88 and 8,177.20 is: 12,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.20 : 29,789.88 = 8,177.20 : x
  2. Step 2: Convert to fraction form
    19,877.20/29,789.88 = 8,177.20/x
  3. Step 3: Cross multiply
    19,877.20x = 29,789.88 × 8,177.20
  4. Step 4: Simplify right side
    19,877.20x = 243,597,806.74
  5. Step 5: Solve for x
    x = 243,597,806.74/19,877.20
  6. Step 6: Final answer
    x = 12,255.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.