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Finding the Fourth Proportional to 24,451.84, 33,757.88 and 17,731

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Solution

The fourth proportional to 24,451.84, 33,757.88 and 17,731 is: 24,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.84 : 33,757.88 = 17,731 : x
  2. Step 2: Convert to fraction form
    24,451.84/33,757.88 = 17,731/x
  3. Step 3: Cross multiply
    24,451.84x = 33,757.88 × 17,731
  4. Step 4: Simplify right side
    24,451.84x = 598,560,970.28
  5. Step 5: Solve for x
    x = 598,560,970.28/24,451.84
  6. Step 6: Final answer
    x = 24,479.18

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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.