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Finding the Fourth Proportional to 24,472.82, 36,711.66 and 7,828.67

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Solution

The fourth proportional to 24,472.82, 36,711.66 and 7,828.67 is: 11,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.82 : 36,711.66 = 7,828.67 : x
  2. Step 2: Convert to fraction form
    24,472.82/36,711.66 = 7,828.67/x
  3. Step 3: Cross multiply
    24,472.82x = 36,711.66 × 7,828.67
  4. Step 4: Simplify right side
    24,472.82x = 287,403,287.73
  5. Step 5: Solve for x
    x = 287,403,287.73/24,472.82
  6. Step 6: Final answer
    x = 11,743.78

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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.