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Finding the Fourth Proportional to 24,454.82, 33,744.34 and 14,377.34

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Solution

The fourth proportional to 24,454.82, 33,744.34 and 14,377.34 is: 19,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.82 : 33,744.34 = 14,377.34 : x
  2. Step 2: Convert to fraction form
    24,454.82/33,744.34 = 14,377.34/x
  3. Step 3: Cross multiply
    24,454.82x = 33,744.34 × 14,377.34
  4. Step 4: Simplify right side
    24,454.82x = 485,153,849.26
  5. Step 5: Solve for x
    x = 485,153,849.26/24,454.82
  6. Step 6: Final answer
    x = 19,838.78

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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.