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Finding the Fourth Proportional to 24,961.95, 37,449.27 and 7,431.93

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Solution

The fourth proportional to 24,961.95, 37,449.27 and 7,431.93 is: 11,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,961.95 : 37,449.27 = 7,431.93 : x
  2. Step 2: Convert to fraction form
    24,961.95/37,449.27 = 7,431.93/x
  3. Step 3: Cross multiply
    24,961.95x = 37,449.27 × 7,431.93
  4. Step 4: Simplify right side
    24,961.95x = 278,320,353.19
  5. Step 5: Solve for x
    x = 278,320,353.19/24,961.95
  6. Step 6: Final answer
    x = 11,149.78

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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.