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Finding the Fourth Proportional to 27,862.39, 41,793.78 and 8,154.68

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Solution

The fourth proportional to 27,862.39, 41,793.78 and 8,154.68 is: 12,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.39 : 41,793.78 = 8,154.68 : x
  2. Step 2: Convert to fraction form
    27,862.39/41,793.78 = 8,154.68/x
  3. Step 3: Cross multiply
    27,862.39x = 41,793.78 × 8,154.68
  4. Step 4: Simplify right side
    27,862.39x = 340,814,901.89
  5. Step 5: Solve for x
    x = 340,814,901.89/27,862.39
  6. Step 6: Final answer
    x = 12,232.08

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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.