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Finding the Fourth Proportional to 24,414, 33,680.04 and 14,339.24

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Solution

The fourth proportional to 24,414, 33,680.04 and 14,339.24 is: 19,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414 : 33,680.04 = 14,339.24 : x
  2. Step 2: Convert to fraction form
    24,414/33,680.04 = 14,339.24/x
  3. Step 3: Cross multiply
    24,414x = 33,680.04 × 14,339.24
  4. Step 4: Simplify right side
    24,414x = 482,946,176.77
  5. Step 5: Solve for x
    x = 482,946,176.77/24,414
  6. Step 6: Final answer
    x = 19,781.53

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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.