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Finding the Fourth Proportional to 17,617.16, 26,429.64 and 5,930

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Solution

The fourth proportional to 17,617.16, 26,429.64 and 5,930 is: 8,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.16 : 26,429.64 = 5,930 : x
  2. Step 2: Convert to fraction form
    17,617.16/26,429.64 = 5,930/x
  3. Step 3: Cross multiply
    17,617.16x = 26,429.64 × 5,930
  4. Step 4: Simplify right side
    17,617.16x = 156,727,765.20
  5. Step 5: Solve for x
    x = 156,727,765.20/17,617.16
  6. Step 6: Final answer
    x = 8,896.31

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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.