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Finding the Fourth Proportional to 18,146.92, 27,178.56 and 13,117.44

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Solution

The fourth proportional to 18,146.92, 27,178.56 and 13,117.44 is: 19,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146.92 : 27,178.56 = 13,117.44 : x
  2. Step 2: Convert to fraction form
    18,146.92/27,178.56 = 13,117.44/x
  3. Step 3: Cross multiply
    18,146.92x = 27,178.56 × 13,117.44
  4. Step 4: Simplify right side
    18,146.92x = 356,513,130.09
  5. Step 5: Solve for x
    x = 356,513,130.09/18,146.92
  6. Step 6: Final answer
    x = 19,645.93

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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.