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Finding the Fourth Proportional to 20,131.97, 30,191.12 and 7,649.00

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Solution

The fourth proportional to 20,131.97, 30,191.12 and 7,649.00 is: 11,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.97 : 30,191.12 = 7,649.00 : x
  2. Step 2: Convert to fraction form
    20,131.97/30,191.12 = 7,649.00/x
  3. Step 3: Cross multiply
    20,131.97x = 30,191.12 × 7,649.00
  4. Step 4: Simplify right side
    20,131.97x = 230,931,725.92
  5. Step 5: Solve for x
    x = 230,931,725.92/20,131.97
  6. Step 6: Final answer
    x = 11,470.90

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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.