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Finding the Fourth Proportional to 24,843.88, 37,234 and 12,196.52

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Solution

The fourth proportional to 24,843.88, 37,234 and 12,196.52 is: 18,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.88 : 37,234 = 12,196.52 : x
  2. Step 2: Convert to fraction form
    24,843.88/37,234 = 12,196.52/x
  3. Step 3: Cross multiply
    24,843.88x = 37,234 × 12,196.52
  4. Step 4: Simplify right side
    24,843.88x = 454,125,225.68
  5. Step 5: Solve for x
    x = 454,125,225.68/24,843.88
  6. Step 6: Final answer
    x = 18,279.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.