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Finding the Fourth Proportional to 13,531.34, 20,291.78 and 5,414.42

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Solution

The fourth proportional to 13,531.34, 20,291.78 and 5,414.42 is: 8,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.34 : 20,291.78 = 5,414.42 : x
  2. Step 2: Convert to fraction form
    13,531.34/20,291.78 = 5,414.42/x
  3. Step 3: Cross multiply
    13,531.34x = 20,291.78 × 5,414.42
  4. Step 4: Simplify right side
    13,531.34x = 109,868,219.47
  5. Step 5: Solve for x
    x = 109,868,219.47/13,531.34
  6. Step 6: Final answer
    x = 8,119.54

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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.