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Finding the Fourth Proportional to 20,711.40, 31,070.52 and 8,231.50

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Solution

The fourth proportional to 20,711.40, 31,070.52 and 8,231.50 is: 12,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.40 : 31,070.52 = 8,231.50 : x
  2. Step 2: Convert to fraction form
    20,711.40/31,070.52 = 8,231.50/x
  3. Step 3: Cross multiply
    20,711.40x = 31,070.52 × 8,231.50
  4. Step 4: Simplify right side
    20,711.40x = 255,756,985.38
  5. Step 5: Solve for x
    x = 255,756,985.38/20,711.40
  6. Step 6: Final answer
    x = 12,348.61

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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.