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Finding the Fourth Proportional to 20,165.74, 30,248.51 and 5,172.80

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Solution

The fourth proportional to 20,165.74, 30,248.51 and 5,172.80 is: 7,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.74 : 30,248.51 = 5,172.80 : x
  2. Step 2: Convert to fraction form
    20,165.74/30,248.51 = 5,172.80/x
  3. Step 3: Cross multiply
    20,165.74x = 30,248.51 × 5,172.80
  4. Step 4: Simplify right side
    20,165.74x = 156,469,315.42
  5. Step 5: Solve for x
    x = 156,469,315.42/20,165.74
  6. Step 6: Final answer
    x = 7,759.17

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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.