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Finding the Fourth Proportional to 24,249.84, 33,470.82 and 14,821.44

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Solution

The fourth proportional to 24,249.84, 33,470.82 and 14,821.44 is: 20,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,249.84 : 33,470.82 = 14,821.44 : x
  2. Step 2: Convert to fraction form
    24,249.84/33,470.82 = 14,821.44/x
  3. Step 3: Cross multiply
    24,249.84x = 33,470.82 × 14,821.44
  4. Step 4: Simplify right side
    24,249.84x = 496,085,750.38
  5. Step 5: Solve for x
    x = 496,085,750.38/24,249.84
  6. Step 6: Final answer
    x = 20,457.28

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Why These Related Problems?

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