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Finding the Fourth Proportional to 20,877.80, 31,318.16 and 8,397.89

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Solution

The fourth proportional to 20,877.80, 31,318.16 and 8,397.89 is: 12,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.80 : 31,318.16 = 8,397.89 : x
  2. Step 2: Convert to fraction form
    20,877.80/31,318.16 = 8,397.89/x
  3. Step 3: Cross multiply
    20,877.80x = 31,318.16 × 8,397.89
  4. Step 4: Simplify right side
    20,877.80x = 263,006,264.10
  5. Step 5: Solve for x
    x = 263,006,264.10/20,877.80
  6. Step 6: Final answer
    x = 12,597.42

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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.