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Finding the Fourth Proportional to 24,525.31, 36,765.78 and 8,939.29

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Solution

The fourth proportional to 24,525.31, 36,765.78 and 8,939.29 is: 13,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525.31 : 36,765.78 = 8,939.29 : x
  2. Step 2: Convert to fraction form
    24,525.31/36,765.78 = 8,939.29/x
  3. Step 3: Cross multiply
    24,525.31x = 36,765.78 × 8,939.29
  4. Step 4: Simplify right side
    24,525.31x = 328,659,969.50
  5. Step 5: Solve for x
    x = 328,659,969.50/24,525.31
  6. Step 6: Final answer
    x = 13,400.85

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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.