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Finding the Fourth Proportional to 24,512.73, 36,773.87 and 7,871.48

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Solution

The fourth proportional to 24,512.73, 36,773.87 and 7,871.48 is: 11,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.73 : 36,773.87 = 7,871.48 : x
  2. Step 2: Convert to fraction form
    24,512.73/36,773.87 = 7,871.48/x
  3. Step 3: Cross multiply
    24,512.73x = 36,773.87 × 7,871.48
  4. Step 4: Simplify right side
    24,512.73x = 289,464,696.90
  5. Step 5: Solve for x
    x = 289,464,696.90/24,512.73
  6. Step 6: Final answer
    x = 11,808.75

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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.