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Finding the Fourth Proportional to 13,540.01, 18,677.69 and 7,874.12

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Solution

The fourth proportional to 13,540.01, 18,677.69 and 7,874.12 is: 10,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.01 : 18,677.69 = 7,874.12 : x
  2. Step 2: Convert to fraction form
    13,540.01/18,677.69 = 7,874.12/x
  3. Step 3: Cross multiply
    13,540.01x = 18,677.69 × 7,874.12
  4. Step 4: Simplify right side
    13,540.01x = 147,070,239.62
  5. Step 5: Solve for x
    x = 147,070,239.62/13,540.01
  6. Step 6: Final answer
    x = 10,861.90

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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.