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Finding the Fourth Proportional to 24,497.31, 36,743.97 and 7,852.86

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Solution

The fourth proportional to 24,497.31, 36,743.97 and 7,852.86 is: 11,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.31 : 36,743.97 = 7,852.86 : x
  2. Step 2: Convert to fraction form
    24,497.31/36,743.97 = 7,852.86/x
  3. Step 3: Cross multiply
    24,497.31x = 36,743.97 × 7,852.86
  4. Step 4: Simplify right side
    24,497.31x = 288,545,252.25
  5. Step 5: Solve for x
    x = 288,545,252.25/24,497.31
  6. Step 6: Final answer
    x = 11,778.65

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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.