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Finding the Fourth Proportional to 18,138.32, 27,191.04 and 6,448.78

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Solution

The fourth proportional to 18,138.32, 27,191.04 and 6,448.78 is: 9,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.32 : 27,191.04 = 6,448.78 : x
  2. Step 2: Convert to fraction form
    18,138.32/27,191.04 = 6,448.78/x
  3. Step 3: Cross multiply
    18,138.32x = 27,191.04 × 6,448.78
  4. Step 4: Simplify right side
    18,138.32x = 175,349,034.93
  5. Step 5: Solve for x
    x = 175,349,034.93/18,138.32
  6. Step 6: Final answer
    x = 9,667.33

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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.