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Finding the Fourth Proportional to 24,295.38, 36,446.70 and 7,653.66

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Solution

The fourth proportional to 24,295.38, 36,446.70 and 7,653.66 is: 11,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295.38 : 36,446.70 = 7,653.66 : x
  2. Step 2: Convert to fraction form
    24,295.38/36,446.70 = 7,653.66/x
  3. Step 3: Cross multiply
    24,295.38x = 36,446.70 × 7,653.66
  4. Step 4: Simplify right side
    24,295.38x = 278,950,649.92
  5. Step 5: Solve for x
    x = 278,950,649.92/24,295.38
  6. Step 6: Final answer
    x = 11,481.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.