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Finding the Fourth Proportional to 24,472.84, 33,786.84 and 17,752

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Solution

The fourth proportional to 24,472.84, 33,786.84 and 17,752 is: 24,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.84 : 33,786.84 = 17,752 : x
  2. Step 2: Convert to fraction form
    24,472.84/33,786.84 = 17,752/x
  3. Step 3: Cross multiply
    24,472.84x = 33,786.84 × 17,752
  4. Step 4: Simplify right side
    24,472.84x = 599,783,983.68
  5. Step 5: Solve for x
    x = 599,783,983.68/24,472.84
  6. Step 6: Final answer
    x = 24,508.15

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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.