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Finding the Fourth Proportional to 17,102.74, 25,652.30 and 8,094.70

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Solution

The fourth proportional to 17,102.74, 25,652.30 and 8,094.70 is: 12,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.74 : 25,652.30 = 8,094.70 : x
  2. Step 2: Convert to fraction form
    17,102.74/25,652.30 = 8,094.70/x
  3. Step 3: Cross multiply
    17,102.74x = 25,652.30 × 8,094.70
  4. Step 4: Simplify right side
    17,102.74x = 207,647,504.08
  5. Step 5: Solve for x
    x = 207,647,504.08/17,102.74
  6. Step 6: Final answer
    x = 12,141.19

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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.