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Finding the Fourth Proportional to 31,385.17, 43,313.66 and 17,238.16

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Solution

The fourth proportional to 31,385.17, 43,313.66 and 17,238.16 is: 23,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.17 : 43,313.66 = 17,238.16 : x
  2. Step 2: Convert to fraction form
    31,385.17/43,313.66 = 17,238.16/x
  3. Step 3: Cross multiply
    31,385.17x = 43,313.66 × 17,238.16
  4. Step 4: Simplify right side
    31,385.17x = 746,647,801.27
  5. Step 5: Solve for x
    x = 746,647,801.27/31,385.17
  6. Step 6: Final answer
    x = 23,789.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.