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Finding the Fourth Proportional to 17,077.64, 25,616.40 and 7,947.98

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Solution

The fourth proportional to 17,077.64, 25,616.40 and 7,947.98 is: 11,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.64 : 25,616.40 = 7,947.98 : x
  2. Step 2: Convert to fraction form
    17,077.64/25,616.40 = 7,947.98/x
  3. Step 3: Cross multiply
    17,077.64x = 25,616.40 × 7,947.98
  4. Step 4: Simplify right side
    17,077.64x = 203,598,634.87
  5. Step 5: Solve for x
    x = 203,598,634.87/17,077.64
  6. Step 6: Final answer
    x = 11,921.94

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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.