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Finding the Fourth Proportional to 13,338.47, 20,003.92 and 5,017.74

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Solution

The fourth proportional to 13,338.47, 20,003.92 and 5,017.74 is: 7,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.47 : 20,003.92 = 5,017.74 : x
  2. Step 2: Convert to fraction form
    13,338.47/20,003.92 = 5,017.74/x
  3. Step 3: Cross multiply
    13,338.47x = 20,003.92 × 5,017.74
  4. Step 4: Simplify right side
    13,338.47x = 100,374,469.54
  5. Step 5: Solve for x
    x = 100,374,469.54/13,338.47
  6. Step 6: Final answer
    x = 7,525.19

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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.