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Finding the Fourth Proportional to 24,714, 34,105.56 and 14,778

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Solution

The fourth proportional to 24,714, 34,105.56 and 14,778 is: 20,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714 : 34,105.56 = 14,778 : x
  2. Step 2: Convert to fraction form
    24,714/34,105.56 = 14,778/x
  3. Step 3: Cross multiply
    24,714x = 34,105.56 × 14,778
  4. Step 4: Simplify right side
    24,714x = 504,011,965.68
  5. Step 5: Solve for x
    x = 504,011,965.68/24,714
  6. Step 6: Final answer
    x = 20,393.78

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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.