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Finding the Fourth Proportional to 19,877.40, 29,826.90 and 8,191.80

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Solution

The fourth proportional to 19,877.40, 29,826.90 and 8,191.80 is: 12,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.40 : 29,826.90 = 8,191.80 : x
  2. Step 2: Convert to fraction form
    19,877.40/29,826.90 = 8,191.80/x
  3. Step 3: Cross multiply
    19,877.40x = 29,826.90 × 8,191.80
  4. Step 4: Simplify right side
    19,877.40x = 244,335,999.42
  5. Step 5: Solve for x
    x = 244,335,999.42/19,877.40
  6. Step 6: Final answer
    x = 12,292.15

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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.