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Finding the Fourth Proportional to 27,049.50, 40,573.71 and 12,255.66

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Solution

The fourth proportional to 27,049.50, 40,573.71 and 12,255.66 is: 18,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.50 : 40,573.71 = 12,255.66 : x
  2. Step 2: Convert to fraction form
    27,049.50/40,573.71 = 12,255.66/x
  3. Step 3: Cross multiply
    27,049.50x = 40,573.71 × 12,255.66
  4. Step 4: Simplify right side
    27,049.50x = 497,257,594.70
  5. Step 5: Solve for x
    x = 497,257,594.70/27,049.50
  6. Step 6: Final answer
    x = 18,383.25

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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.