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Finding the Fourth Proportional to 26,546.66, 39,826.47 and 8,078.66

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Solution

The fourth proportional to 26,546.66, 39,826.47 and 8,078.66 is: 12,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.66 : 39,826.47 = 8,078.66 : x
  2. Step 2: Convert to fraction form
    26,546.66/39,826.47 = 8,078.66/x
  3. Step 3: Cross multiply
    26,546.66x = 39,826.47 × 8,078.66
  4. Step 4: Simplify right side
    26,546.66x = 321,744,510.13
  5. Step 5: Solve for x
    x = 321,744,510.13/26,546.66
  6. Step 6: Final answer
    x = 12,119.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.