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Finding the Fourth Proportional to 27,134.16, 40,702.78 and 8,416.86

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Solution

The fourth proportional to 27,134.16, 40,702.78 and 8,416.86 is: 12,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.16 : 40,702.78 = 8,416.86 : x
  2. Step 2: Convert to fraction form
    27,134.16/40,702.78 = 8,416.86/x
  3. Step 3: Cross multiply
    27,134.16x = 40,702.78 × 8,416.86
  4. Step 4: Simplify right side
    27,134.16x = 342,589,600.87
  5. Step 5: Solve for x
    x = 342,589,600.87/27,134.16
  6. Step 6: Final answer
    x = 12,625.77

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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.