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Finding the Fourth Proportional to 13,418.09, 18,517.17 and 7,449.77

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Solution

The fourth proportional to 13,418.09, 18,517.17 and 7,449.77 is: 10,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.09 : 18,517.17 = 7,449.77 : x
  2. Step 2: Convert to fraction form
    13,418.09/18,517.17 = 7,449.77/x
  3. Step 3: Cross multiply
    13,418.09x = 18,517.17 × 7,449.77
  4. Step 4: Simplify right side
    13,418.09x = 137,948,731.78
  5. Step 5: Solve for x
    x = 137,948,731.78/13,418.09
  6. Step 6: Final answer
    x = 10,280.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.