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Finding the Fourth Proportional to 24,264, 33,480.68 and 13,653.41

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Solution

The fourth proportional to 24,264, 33,480.68 and 13,653.41 is: 18,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264 : 33,480.68 = 13,653.41 : x
  2. Step 2: Convert to fraction form
    24,264/33,480.68 = 13,653.41/x
  3. Step 3: Cross multiply
    24,264x = 33,480.68 × 13,653.41
  4. Step 4: Simplify right side
    24,264x = 457,125,215.45
  5. Step 5: Solve for x
    x = 457,125,215.45/24,264
  6. Step 6: Final answer
    x = 18,839.65

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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.