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Finding the Fourth Proportional to 17,831, 26,746.56 and 5,351.24

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Solution

The fourth proportional to 17,831, 26,746.56 and 5,351.24 is: 8,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831 : 26,746.56 = 5,351.24 : x
  2. Step 2: Convert to fraction form
    17,831/26,746.56 = 5,351.24/x
  3. Step 3: Cross multiply
    17,831x = 26,746.56 × 5,351.24
  4. Step 4: Simplify right side
    17,831x = 143,127,261.73
  5. Step 5: Solve for x
    x = 143,127,261.73/17,831
  6. Step 6: Final answer
    x = 8,026.88

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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.