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Finding the Fourth Proportional to 27,135.12, 40,709 and 8,414.18

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Solution

The fourth proportional to 27,135.12, 40,709 and 8,414.18 is: 12,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.12 : 40,709 = 8,414.18 : x
  2. Step 2: Convert to fraction form
    27,135.12/40,709 = 8,414.18/x
  3. Step 3: Cross multiply
    27,135.12x = 40,709 × 8,414.18
  4. Step 4: Simplify right side
    27,135.12x = 342,532,853.62
  5. Step 5: Solve for x
    x = 342,532,853.62/27,135.12
  6. Step 6: Final answer
    x = 12,623.23

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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.