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Finding the Fourth Proportional to 13,518.25, 18,655.14 and 7,549.92

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Solution

The fourth proportional to 13,518.25, 18,655.14 and 7,549.92 is: 10,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.25 : 18,655.14 = 7,549.92 : x
  2. Step 2: Convert to fraction form
    13,518.25/18,655.14 = 7,549.92/x
  3. Step 3: Cross multiply
    13,518.25x = 18,655.14 × 7,549.92
  4. Step 4: Simplify right side
    13,518.25x = 140,844,842.90
  5. Step 5: Solve for x
    x = 140,844,842.90/13,518.25
  6. Step 6: Final answer
    x = 10,418.87

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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.