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Finding the Fourth Proportional to 18,138.71, 27,191.67 and 6,449.20

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Solution

The fourth proportional to 18,138.71, 27,191.67 and 6,449.20 is: 9,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.71 : 27,191.67 = 6,449.20 : x
  2. Step 2: Convert to fraction form
    18,138.71/27,191.67 = 6,449.20/x
  3. Step 3: Cross multiply
    18,138.71x = 27,191.67 × 6,449.20
  4. Step 4: Simplify right side
    18,138.71x = 175,364,417.94
  5. Step 5: Solve for x
    x = 175,364,417.94/18,138.71
  6. Step 6: Final answer
    x = 9,667.96

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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.