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Finding the Fourth Proportional to 24,342.90, 36,491.67 and 11,205.78

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Solution

The fourth proportional to 24,342.90, 36,491.67 and 11,205.78 is: 16,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.90 : 36,491.67 = 11,205.78 : x
  2. Step 2: Convert to fraction form
    24,342.90/36,491.67 = 11,205.78/x
  3. Step 3: Cross multiply
    24,342.90x = 36,491.67 × 11,205.78
  4. Step 4: Simplify right side
    24,342.90x = 408,917,625.85
  5. Step 5: Solve for x
    x = 408,917,625.85/24,342.90
  6. Step 6: Final answer
    x = 16,798.23

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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.