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Finding the Fourth Proportional to 24,714.42, 34,103.54 and 14,642.88

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Solution

The fourth proportional to 24,714.42, 34,103.54 and 14,642.88 is: 20,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.42 : 34,103.54 = 14,642.88 : x
  2. Step 2: Convert to fraction form
    24,714.42/34,103.54 = 14,642.88/x
  3. Step 3: Cross multiply
    24,714.42x = 34,103.54 × 14,642.88
  4. Step 4: Simplify right side
    24,714.42x = 499,374,043.80
  5. Step 5: Solve for x
    x = 499,374,043.80/24,714.42
  6. Step 6: Final answer
    x = 20,205.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.