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Finding the Fourth Proportional to 24,693.73, 37,046.49 and 8,053.78

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Solution

The fourth proportional to 24,693.73, 37,046.49 and 8,053.78 is: 12,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693.73 : 37,046.49 = 8,053.78 : x
  2. Step 2: Convert to fraction form
    24,693.73/37,046.49 = 8,053.78/x
  3. Step 3: Cross multiply
    24,693.73x = 37,046.49 × 8,053.78
  4. Step 4: Simplify right side
    24,693.73x = 298,364,187.62
  5. Step 5: Solve for x
    x = 298,364,187.62/24,693.73
  6. Step 6: Final answer
    x = 12,082.59

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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.