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Finding the Fourth Proportional to 13,518.11, 18,654.97 and 7,549.78

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Solution

The fourth proportional to 13,518.11, 18,654.97 and 7,549.78 is: 10,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.11 : 18,654.97 = 7,549.78 : x
  2. Step 2: Convert to fraction form
    13,518.11/18,654.97 = 7,549.78/x
  3. Step 3: Cross multiply
    13,518.11x = 18,654.97 × 7,549.78
  4. Step 4: Simplify right side
    13,518.11x = 140,840,919.41
  5. Step 5: Solve for x
    x = 140,840,919.41/13,518.11
  6. Step 6: Final answer
    x = 10,418.68

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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.