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Finding the Fourth Proportional to 13,518.34, 18,654.78 and 7,549.90

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Solution

The fourth proportional to 13,518.34, 18,654.78 and 7,549.90 is: 10,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.34 : 18,654.78 = 7,549.90 : x
  2. Step 2: Convert to fraction form
    13,518.34/18,654.78 = 7,549.90/x
  3. Step 3: Cross multiply
    13,518.34x = 18,654.78 × 7,549.90
  4. Step 4: Simplify right side
    13,518.34x = 140,841,723.52
  5. Step 5: Solve for x
    x = 140,841,723.52/13,518.34
  6. Step 6: Final answer
    x = 10,418.57

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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.