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Finding the Fourth Proportional to 12,589.23, 18,882.78 and 5,924.16

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Solution

The fourth proportional to 12,589.23, 18,882.78 and 5,924.16 is: 8,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.23 : 18,882.78 = 5,924.16 : x
  2. Step 2: Convert to fraction form
    12,589.23/18,882.78 = 5,924.16/x
  3. Step 3: Cross multiply
    12,589.23x = 18,882.78 × 5,924.16
  4. Step 4: Simplify right side
    12,589.23x = 111,864,609.96
  5. Step 5: Solve for x
    x = 111,864,609.96/12,589.23
  6. Step 6: Final answer
    x = 8,885.74

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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.