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Finding the Fourth Proportional to 18,589.56, 27,869.76 and 8,723.76

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Solution

The fourth proportional to 18,589.56, 27,869.76 and 8,723.76 is: 13,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.56 : 27,869.76 = 8,723.76 : x
  2. Step 2: Convert to fraction form
    18,589.56/27,869.76 = 8,723.76/x
  3. Step 3: Cross multiply
    18,589.56x = 27,869.76 × 8,723.76
  4. Step 4: Simplify right side
    18,589.56x = 243,129,097.50
  5. Step 5: Solve for x
    x = 243,129,097.50/18,589.56
  6. Step 6: Final answer
    x = 13,078.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.