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Finding the Fourth Proportional to 27,144.15, 40,714.26 and 8,423.70

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Solution

The fourth proportional to 27,144.15, 40,714.26 and 8,423.70 is: 12,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.15 : 40,714.26 = 8,423.70 : x
  2. Step 2: Convert to fraction form
    27,144.15/40,714.26 = 8,423.70/x
  3. Step 3: Cross multiply
    27,144.15x = 40,714.26 × 8,423.70
  4. Step 4: Simplify right side
    27,144.15x = 342,964,711.96
  5. Step 5: Solve for x
    x = 342,964,711.96/27,144.15
  6. Step 6: Final answer
    x = 12,634.94

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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.