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Finding the Fourth Proportional to 29,780.84, 41,094.50 and 17,843.87

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Solution

The fourth proportional to 29,780.84, 41,094.50 and 17,843.87 is: 24,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780.84 : 41,094.50 = 17,843.87 : x
  2. Step 2: Convert to fraction form
    29,780.84/41,094.50 = 17,843.87/x
  3. Step 3: Cross multiply
    29,780.84x = 41,094.50 × 17,843.87
  4. Step 4: Simplify right side
    29,780.84x = 733,284,929.23
  5. Step 5: Solve for x
    x = 733,284,929.23/29,780.84
  6. Step 6: Final answer
    x = 24,622.71

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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.