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Finding the Fourth Proportional to 13,642.80, 20,474.34 and 10,140.96

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Solution

The fourth proportional to 13,642.80, 20,474.34 and 10,140.96 is: 15,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.80 : 20,474.34 = 10,140.96 : x
  2. Step 2: Convert to fraction form
    13,642.80/20,474.34 = 10,140.96/x
  3. Step 3: Cross multiply
    13,642.80x = 20,474.34 × 10,140.96
  4. Step 4: Simplify right side
    13,642.80x = 207,629,462.97
  5. Step 5: Solve for x
    x = 207,629,462.97/13,642.80
  6. Step 6: Final answer
    x = 15,218.98

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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.