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Finding the Fourth Proportional to 20,715.60, 31,073.40 and 6,864.60

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Solution

The fourth proportional to 20,715.60, 31,073.40 and 6,864.60 is: 10,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.60 : 31,073.40 = 6,864.60 : x
  2. Step 2: Convert to fraction form
    20,715.60/31,073.40 = 6,864.60/x
  3. Step 3: Cross multiply
    20,715.60x = 31,073.40 × 6,864.60
  4. Step 4: Simplify right side
    20,715.60x = 213,306,461.64
  5. Step 5: Solve for x
    x = 213,306,461.64/20,715.60
  6. Step 6: Final answer
    x = 10,296.90

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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.