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Finding the Fourth Proportional to 24,571.82, 33,909.23 and 14,363.44

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Solution

The fourth proportional to 24,571.82, 33,909.23 and 14,363.44 is: 19,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.82 : 33,909.23 = 14,363.44 : x
  2. Step 2: Convert to fraction form
    24,571.82/33,909.23 = 14,363.44/x
  3. Step 3: Cross multiply
    24,571.82x = 33,909.23 × 14,363.44
  4. Step 4: Simplify right side
    24,571.82x = 487,053,332.43
  5. Step 5: Solve for x
    x = 487,053,332.43/24,571.82
  6. Step 6: Final answer
    x = 19,821.62

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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.