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Finding the Fourth Proportional to 26,878.87, 40,324.80 and 8,157.81

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Solution

The fourth proportional to 26,878.87, 40,324.80 and 8,157.81 is: 12,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,878.87 : 40,324.80 = 8,157.81 : x
  2. Step 2: Convert to fraction form
    26,878.87/40,324.80 = 8,157.81/x
  3. Step 3: Cross multiply
    26,878.87x = 40,324.80 × 8,157.81
  4. Step 4: Simplify right side
    26,878.87x = 328,962,238.50
  5. Step 5: Solve for x
    x = 328,962,238.50/26,878.87
  6. Step 6: Final answer
    x = 12,238.69

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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.