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Finding the Fourth Proportional to 24,472.67, 36,705.87 and 7,831.31

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Solution

The fourth proportional to 24,472.67, 36,705.87 and 7,831.31 is: 11,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.67 : 36,705.87 = 7,831.31 : x
  2. Step 2: Convert to fraction form
    24,472.67/36,705.87 = 7,831.31/x
  3. Step 3: Cross multiply
    24,472.67x = 36,705.87 × 7,831.31
  4. Step 4: Simplify right side
    24,472.67x = 287,455,046.79
  5. Step 5: Solve for x
    x = 287,455,046.79/24,472.67
  6. Step 6: Final answer
    x = 11,745.96

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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.