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Finding the Fourth Proportional to 13,648.64, 20,452.12 and 9,189.84

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Solution

The fourth proportional to 13,648.64, 20,452.12 and 9,189.84 is: 13,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.64 : 20,452.12 = 9,189.84 : x
  2. Step 2: Convert to fraction form
    13,648.64/20,452.12 = 9,189.84/x
  3. Step 3: Cross multiply
    13,648.64x = 20,452.12 × 9,189.84
  4. Step 4: Simplify right side
    13,648.64x = 187,951,613.38
  5. Step 5: Solve for x
    x = 187,951,613.38/13,648.64
  6. Step 6: Final answer
    x = 13,770.72

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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.