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Finding the Fourth Proportional to 20,132.70, 30,166.65 and 10,257.18

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Solution

The fourth proportional to 20,132.70, 30,166.65 and 10,257.18 is: 15,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.70 : 30,166.65 = 10,257.18 : x
  2. Step 2: Convert to fraction form
    20,132.70/30,166.65 = 10,257.18/x
  3. Step 3: Cross multiply
    20,132.70x = 30,166.65 × 10,257.18
  4. Step 4: Simplify right side
    20,132.70x = 309,424,759.05
  5. Step 5: Solve for x
    x = 309,424,759.05/20,132.70
  6. Step 6: Final answer
    x = 15,369.26

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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.