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Finding the Fourth Proportional to 13,514.40, 20,257.20 and 5,191.20

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Solution

The fourth proportional to 13,514.40, 20,257.20 and 5,191.20 is: 7,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.40 : 20,257.20 = 5,191.20 : x
  2. Step 2: Convert to fraction form
    13,514.40/20,257.20 = 5,191.20/x
  3. Step 3: Cross multiply
    13,514.40x = 20,257.20 × 5,191.20
  4. Step 4: Simplify right side
    13,514.40x = 105,159,176.64
  5. Step 5: Solve for x
    x = 105,159,176.64/13,514.40
  6. Step 6: Final answer
    x = 7,781.27

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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.