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Finding the Fourth Proportional to 27,138.65, 40,713.80 and 8,418.29

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Solution

The fourth proportional to 27,138.65, 40,713.80 and 8,418.29 is: 12,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.65 : 40,713.80 = 8,418.29 : x
  2. Step 2: Convert to fraction form
    27,138.65/40,713.80 = 8,418.29/x
  3. Step 3: Cross multiply
    27,138.65x = 40,713.80 × 8,418.29
  4. Step 4: Simplify right side
    27,138.65x = 342,740,329.74
  5. Step 5: Solve for x
    x = 342,740,329.74/27,138.65
  6. Step 6: Final answer
    x = 12,629.24

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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.