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Finding the Fourth Proportional to 18,400.98, 27,589.59 and 7,877.88

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Solution

The fourth proportional to 18,400.98, 27,589.59 and 7,877.88 is: 11,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.98 : 27,589.59 = 7,877.88 : x
  2. Step 2: Convert to fraction form
    18,400.98/27,589.59 = 7,877.88/x
  3. Step 3: Cross multiply
    18,400.98x = 27,589.59 × 7,877.88
  4. Step 4: Simplify right side
    18,400.98x = 217,347,479.27
  5. Step 5: Solve for x
    x = 217,347,479.27/18,400.98
  6. Step 6: Final answer
    x = 11,811.73

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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.