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Finding the Fourth Proportional to 20,902.59, 31,358.64 and 6,863.57

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Solution

The fourth proportional to 20,902.59, 31,358.64 and 6,863.57 is: 10,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.59 : 31,358.64 = 6,863.57 : x
  2. Step 2: Convert to fraction form
    20,902.59/31,358.64 = 6,863.57/x
  3. Step 3: Cross multiply
    20,902.59x = 31,358.64 × 6,863.57
  4. Step 4: Simplify right side
    20,902.59x = 215,232,207.28
  5. Step 5: Solve for x
    x = 215,232,207.28/20,902.59
  6. Step 6: Final answer
    x = 10,296.92

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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.