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Finding the Fourth Proportional to 24,714.43, 34,105.80 and 13,383.88

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Solution

The fourth proportional to 24,714.43, 34,105.80 and 13,383.88 is: 18,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.43 : 34,105.80 = 13,383.88 : x
  2. Step 2: Convert to fraction form
    24,714.43/34,105.80 = 13,383.88/x
  3. Step 3: Cross multiply
    24,714.43x = 34,105.80 × 13,383.88
  4. Step 4: Simplify right side
    24,714.43x = 456,467,934.50
  5. Step 5: Solve for x
    x = 456,467,934.50/24,714.43
  6. Step 6: Final answer
    x = 18,469.69

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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.