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Finding the Fourth Proportional to 29,780.85, 41,094.54 and 17,843.88

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Solution

The fourth proportional to 29,780.85, 41,094.54 and 17,843.88 is: 24,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780.85 : 41,094.54 = 17,843.88 : x
  2. Step 2: Convert to fraction form
    29,780.85/41,094.54 = 17,843.88/x
  3. Step 3: Cross multiply
    29,780.85x = 41,094.54 × 17,843.88
  4. Step 4: Simplify right side
    29,780.85x = 733,286,040.42
  5. Step 5: Solve for x
    x = 733,286,040.42/29,780.85
  6. Step 6: Final answer
    x = 24,622.74

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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.