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Finding the Fourth Proportional to 27,134.88, 40,708.08 and 8,416.32

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Solution

The fourth proportional to 27,134.88, 40,708.08 and 8,416.32 is: 12,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.88 : 40,708.08 = 8,416.32 : x
  2. Step 2: Convert to fraction form
    27,134.88/40,708.08 = 8,416.32/x
  3. Step 3: Cross multiply
    27,134.88x = 40,708.08 × 8,416.32
  4. Step 4: Simplify right side
    27,134.88x = 342,612,227.87
  5. Step 5: Solve for x
    x = 342,612,227.87/27,134.88
  6. Step 6: Final answer
    x = 12,626.27

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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.