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Finding the Fourth Proportional to 26,601.44, 39,900.72 and 8,132

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Solution

The fourth proportional to 26,601.44, 39,900.72 and 8,132 is: 12,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,601.44 : 39,900.72 = 8,132 : x
  2. Step 2: Convert to fraction form
    26,601.44/39,900.72 = 8,132/x
  3. Step 3: Cross multiply
    26,601.44x = 39,900.72 × 8,132
  4. Step 4: Simplify right side
    26,601.44x = 324,472,655.04
  5. Step 5: Solve for x
    x = 324,472,655.04/26,601.44
  6. Step 6: Final answer
    x = 12,197.56

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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.