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Finding the Fourth Proportional to 20,470.57, 30,687.59 and 7,987.69

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Solution

The fourth proportional to 20,470.57, 30,687.59 and 7,987.69 is: 11,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.57 : 30,687.59 = 7,987.69 : x
  2. Step 2: Convert to fraction form
    20,470.57/30,687.59 = 7,987.69/x
  3. Step 3: Cross multiply
    20,470.57x = 30,687.59 × 7,987.69
  4. Step 4: Simplify right side
    20,470.57x = 245,123,039.63
  5. Step 5: Solve for x
    x = 245,123,039.63/20,470.57
  6. Step 6: Final answer
    x = 11,974.41

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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.