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Finding the Fourth Proportional to 13,728.10, 20,573.61 and 10,012.90

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Solution

The fourth proportional to 13,728.10, 20,573.61 and 10,012.90 is: 15,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.10 : 20,573.61 = 10,012.90 : x
  2. Step 2: Convert to fraction form
    13,728.10/20,573.61 = 10,012.90/x
  3. Step 3: Cross multiply
    13,728.10x = 20,573.61 × 10,012.90
  4. Step 4: Simplify right side
    13,728.10x = 206,001,499.57
  5. Step 5: Solve for x
    x = 206,001,499.57/13,728.10
  6. Step 6: Final answer
    x = 15,005.83

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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.