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Finding the Fourth Proportional to 20,151.26, 30,230.02 and 10,285.20

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Solution

The fourth proportional to 20,151.26, 30,230.02 and 10,285.20 is: 15,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.26 : 30,230.02 = 10,285.20 : x
  2. Step 2: Convert to fraction form
    20,151.26/30,230.02 = 10,285.20/x
  3. Step 3: Cross multiply
    20,151.26x = 30,230.02 × 10,285.20
  4. Step 4: Simplify right side
    20,151.26x = 310,921,801.70
  5. Step 5: Solve for x
    x = 310,921,801.70/20,151.26
  6. Step 6: Final answer
    x = 15,429.40

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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.