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Finding the Fourth Proportional to 13,838.97, 20,768.43 and 5,514.15

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Solution

The fourth proportional to 13,838.97, 20,768.43 and 5,514.15 is: 8,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.97 : 20,768.43 = 5,514.15 : x
  2. Step 2: Convert to fraction form
    13,838.97/20,768.43 = 5,514.15/x
  3. Step 3: Cross multiply
    13,838.97x = 20,768.43 × 5,514.15
  4. Step 4: Simplify right side
    13,838.97x = 114,520,238.28
  5. Step 5: Solve for x
    x = 114,520,238.28/13,838.97
  6. Step 6: Final answer
    x = 8,275.20

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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.