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Finding the Fourth Proportional to 18,632.70, 27,967.14 and 8,778.78

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Solution

The fourth proportional to 18,632.70, 27,967.14 and 8,778.78 is: 13,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632.70 : 27,967.14 = 8,778.78 : x
  2. Step 2: Convert to fraction form
    18,632.70/27,967.14 = 8,778.78/x
  3. Step 3: Cross multiply
    18,632.70x = 27,967.14 × 8,778.78
  4. Step 4: Simplify right side
    18,632.70x = 245,517,369.29
  5. Step 5: Solve for x
    x = 245,517,369.29/18,632.70
  6. Step 6: Final answer
    x = 13,176.69

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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.