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Finding the Fourth Proportional to 12,540.96, 18,813.60 and 3,775.14

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Solution

The fourth proportional to 12,540.96, 18,813.60 and 3,775.14 is: 5,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.96 : 18,813.60 = 3,775.14 : x
  2. Step 2: Convert to fraction form
    12,540.96/18,813.60 = 3,775.14/x
  3. Step 3: Cross multiply
    12,540.96x = 18,813.60 × 3,775.14
  4. Step 4: Simplify right side
    12,540.96x = 71,023,973.90
  5. Step 5: Solve for x
    x = 71,023,973.90/12,540.96
  6. Step 6: Final answer
    x = 5,663.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.