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Finding the Fourth Proportional to 13,517.98, 18,655.20 and 7,549.50

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Solution

The fourth proportional to 13,517.98, 18,655.20 and 7,549.50 is: 10,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.98 : 18,655.20 = 7,549.50 : x
  2. Step 2: Convert to fraction form
    13,517.98/18,655.20 = 7,549.50/x
  3. Step 3: Cross multiply
    13,517.98x = 18,655.20 × 7,549.50
  4. Step 4: Simplify right side
    13,517.98x = 140,837,432.40
  5. Step 5: Solve for x
    x = 140,837,432.40/13,517.98
  6. Step 6: Final answer
    x = 10,418.53

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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.