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Finding the Fourth Proportional to 20,715.40, 31,073.10 and 6,864.40

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Solution

The fourth proportional to 20,715.40, 31,073.10 and 6,864.40 is: 10,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.40 : 31,073.10 = 6,864.40 : x
  2. Step 2: Convert to fraction form
    20,715.40/31,073.10 = 6,864.40/x
  3. Step 3: Cross multiply
    20,715.40x = 31,073.10 × 6,864.40
  4. Step 4: Simplify right side
    20,715.40x = 213,298,187.64
  5. Step 5: Solve for x
    x = 213,298,187.64/20,715.40
  6. Step 6: Final answer
    x = 10,296.60

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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.