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Finding the Fourth Proportional to 17,170.42, 25,755.57 and 6,077.74

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Solution

The fourth proportional to 17,170.42, 25,755.57 and 6,077.74 is: 9,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,170.42 : 25,755.57 = 6,077.74 : x
  2. Step 2: Convert to fraction form
    17,170.42/25,755.57 = 6,077.74/x
  3. Step 3: Cross multiply
    17,170.42x = 25,755.57 × 6,077.74
  4. Step 4: Simplify right side
    17,170.42x = 156,535,658.01
  5. Step 5: Solve for x
    x = 156,535,658.01/17,170.42
  6. Step 6: Final answer
    x = 9,116.59

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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.