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Finding the Fourth Proportional to 18,444.93, 27,678.38 and 6,758.97

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Solution

The fourth proportional to 18,444.93, 27,678.38 and 6,758.97 is: 10,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,444.93 : 27,678.38 = 6,758.97 : x
  2. Step 2: Convert to fraction form
    18,444.93/27,678.38 = 6,758.97/x
  3. Step 3: Cross multiply
    18,444.93x = 27,678.38 × 6,758.97
  4. Step 4: Simplify right side
    18,444.93x = 187,077,306.27
  5. Step 5: Solve for x
    x = 187,077,306.27/18,444.93
  6. Step 6: Final answer
    x = 10,142.48

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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.