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Finding the Fourth Proportional to 13,642.48, 20,464.16 and 3,781.88

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Solution

The fourth proportional to 13,642.48, 20,464.16 and 3,781.88 is: 5,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.48 : 20,464.16 = 3,781.88 : x
  2. Step 2: Convert to fraction form
    13,642.48/20,464.16 = 3,781.88/x
  3. Step 3: Cross multiply
    13,642.48x = 20,464.16 × 3,781.88
  4. Step 4: Simplify right side
    13,642.48x = 77,392,997.42
  5. Step 5: Solve for x
    x = 77,392,997.42/13,642.48
  6. Step 6: Final answer
    x = 5,672.94

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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.