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Finding the Fourth Proportional to 17,242.98, 25,856.28 and 7,880.22

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Solution

The fourth proportional to 17,242.98, 25,856.28 and 7,880.22 is: 11,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.98 : 25,856.28 = 7,880.22 : x
  2. Step 2: Convert to fraction form
    17,242.98/25,856.28 = 7,880.22/x
  3. Step 3: Cross multiply
    17,242.98x = 25,856.28 × 7,880.22
  4. Step 4: Simplify right side
    17,242.98x = 203,753,174.78
  5. Step 5: Solve for x
    x = 203,753,174.78/17,242.98
  6. Step 6: Final answer
    x = 11,816.59

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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.