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Finding the Fourth Proportional to 27,139.15, 40,714.53 and 8,418.78

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Solution

The fourth proportional to 27,139.15, 40,714.53 and 8,418.78 is: 12,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,139.15 : 40,714.53 = 8,418.78 : x
  2. Step 2: Convert to fraction form
    27,139.15/40,714.53 = 8,418.78/x
  3. Step 3: Cross multiply
    27,139.15x = 40,714.53 × 8,418.78
  4. Step 4: Simplify right side
    27,139.15x = 342,766,670.87
  5. Step 5: Solve for x
    x = 342,766,670.87/27,139.15
  6. Step 6: Final answer
    x = 12,629.97

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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.