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Finding the Fourth Proportional to 17,141.29, 25,712.49 and 5,896.51

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Solution

The fourth proportional to 17,141.29, 25,712.49 and 5,896.51 is: 8,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.29 : 25,712.49 = 5,896.51 : x
  2. Step 2: Convert to fraction form
    17,141.29/25,712.49 = 5,896.51/x
  3. Step 3: Cross multiply
    17,141.29x = 25,712.49 × 5,896.51
  4. Step 4: Simplify right side
    17,141.29x = 151,614,023.71
  5. Step 5: Solve for x
    x = 151,614,023.71/17,141.29
  6. Step 6: Final answer
    x = 8,844.96

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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.