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Finding the Fourth Proportional to 27,134.90, 40,708.16 and 8,414.53

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Solution

The fourth proportional to 27,134.90, 40,708.16 and 8,414.53 is: 12,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.90 : 40,708.16 = 8,414.53 : x
  2. Step 2: Convert to fraction form
    27,134.90/40,708.16 = 8,414.53/x
  3. Step 3: Cross multiply
    27,134.90x = 40,708.16 × 8,414.53
  4. Step 4: Simplify right side
    27,134.90x = 342,539,830.02
  5. Step 5: Solve for x
    x = 342,539,830.02/27,134.90
  6. Step 6: Final answer
    x = 12,623.59

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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.