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Finding the Fourth Proportional to 25,363.56, 38,033.76 and 13,514.31

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Solution

The fourth proportional to 25,363.56, 38,033.76 and 13,514.31 is: 20,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363.56 : 38,033.76 = 13,514.31 : x
  2. Step 2: Convert to fraction form
    25,363.56/38,033.76 = 13,514.31/x
  3. Step 3: Cross multiply
    25,363.56x = 38,033.76 × 13,514.31
  4. Step 4: Simplify right side
    25,363.56x = 514,000,023.11
  5. Step 5: Solve for x
    x = 514,000,023.11/25,363.56
  6. Step 6: Final answer
    x = 20,265.29

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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.