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Finding the Fourth Proportional to 24,589.98, 33,933.83 and 13,834.82

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Solution

The fourth proportional to 24,589.98, 33,933.83 and 13,834.82 is: 19,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.98 : 33,933.83 = 13,834.82 : x
  2. Step 2: Convert to fraction form
    24,589.98/33,933.83 = 13,834.82/x
  3. Step 3: Cross multiply
    24,589.98x = 33,933.83 × 13,834.82
  4. Step 4: Simplify right side
    24,589.98x = 469,468,445.62
  5. Step 5: Solve for x
    x = 469,468,445.62/24,589.98
  6. Step 6: Final answer
    x = 19,091.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.