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Finding the Fourth Proportional to 21,877.20, 32,811.84 and 6,291

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Solution

The fourth proportional to 21,877.20, 32,811.84 and 6,291 is: 9,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.20 : 32,811.84 = 6,291 : x
  2. Step 2: Convert to fraction form
    21,877.20/32,811.84 = 6,291/x
  3. Step 3: Cross multiply
    21,877.20x = 32,811.84 × 6,291
  4. Step 4: Simplify right side
    21,877.20x = 206,419,285.44
  5. Step 5: Solve for x
    x = 206,419,285.44/21,877.20
  6. Step 6: Final answer
    x = 9,435.36

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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.