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Finding the Fourth Proportional to 19,699.08, 29,546.46 and 5,847

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Solution

The fourth proportional to 19,699.08, 29,546.46 and 5,847 is: 8,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.08 : 29,546.46 = 5,847 : x
  2. Step 2: Convert to fraction form
    19,699.08/29,546.46 = 5,847/x
  3. Step 3: Cross multiply
    19,699.08x = 29,546.46 × 5,847
  4. Step 4: Simplify right side
    19,699.08x = 172,758,151.62
  5. Step 5: Solve for x
    x = 172,758,151.62/19,699.08
  6. Step 6: Final answer
    x = 8,769.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.