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Finding the Fourth Proportional to 13,489.20, 18,593.82 and 10,127.16

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Solution

The fourth proportional to 13,489.20, 18,593.82 and 10,127.16 is: 13,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.20 : 18,593.82 = 10,127.16 : x
  2. Step 2: Convert to fraction form
    13,489.20/18,593.82 = 10,127.16/x
  3. Step 3: Cross multiply
    13,489.20x = 18,593.82 × 10,127.16
  4. Step 4: Simplify right side
    13,489.20x = 188,302,590.15
  5. Step 5: Solve for x
    x = 188,302,590.15/13,489.20
  6. Step 6: Final answer
    x = 13,959.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.