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Finding the Fourth Proportional to 20,691.40, 31,045.20 and 8,209.30

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Solution

The fourth proportional to 20,691.40, 31,045.20 and 8,209.30 is: 12,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.40 : 31,045.20 = 8,209.30 : x
  2. Step 2: Convert to fraction form
    20,691.40/31,045.20 = 8,209.30/x
  3. Step 3: Cross multiply
    20,691.40x = 31,045.20 × 8,209.30
  4. Step 4: Simplify right side
    20,691.40x = 254,859,360.36
  5. Step 5: Solve for x
    x = 254,859,360.36/20,691.40
  6. Step 6: Final answer
    x = 12,317.16

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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.