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Finding the Fourth Proportional to 16,161.18, 22,301.25 and 10,114.14

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Solution

The fourth proportional to 16,161.18, 22,301.25 and 10,114.14 is: 13,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.18 : 22,301.25 = 10,114.14 : x
  2. Step 2: Convert to fraction form
    16,161.18/22,301.25 = 10,114.14/x
  3. Step 3: Cross multiply
    16,161.18x = 22,301.25 × 10,114.14
  4. Step 4: Simplify right side
    16,161.18x = 225,557,964.68
  5. Step 5: Solve for x
    x = 225,557,964.68/16,161.18
  6. Step 6: Final answer
    x = 13,956.78

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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.