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Finding the Fourth Proportional to 17,239.80, 25,847.55 and 7,884.30

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Solution

The fourth proportional to 17,239.80, 25,847.55 and 7,884.30 is: 11,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,239.80 : 25,847.55 = 7,884.30 : x
  2. Step 2: Convert to fraction form
    17,239.80/25,847.55 = 7,884.30/x
  3. Step 3: Cross multiply
    17,239.80x = 25,847.55 × 7,884.30
  4. Step 4: Simplify right side
    17,239.80x = 203,789,838.47
  5. Step 5: Solve for x
    x = 203,789,838.47/17,239.80
  6. Step 6: Final answer
    x = 11,820.89

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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.