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Finding the Fourth Proportional to 19,877.76, 29,805.12 and 8,177.76

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Solution

The fourth proportional to 19,877.76, 29,805.12 and 8,177.76 is: 12,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.76 : 29,805.12 = 8,177.76 : x
  2. Step 2: Convert to fraction form
    19,877.76/29,805.12 = 8,177.76/x
  3. Step 3: Cross multiply
    19,877.76x = 29,805.12 × 8,177.76
  4. Step 4: Simplify right side
    19,877.76x = 243,739,118.13
  5. Step 5: Solve for x
    x = 243,739,118.13/19,877.76
  6. Step 6: Final answer
    x = 12,261.90

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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.