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Finding the Fourth Proportional to 17,412.57, 26,107.25 and 6,317.82

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Solution

The fourth proportional to 17,412.57, 26,107.25 and 6,317.82 is: 9,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.57 : 26,107.25 = 6,317.82 : x
  2. Step 2: Convert to fraction form
    17,412.57/26,107.25 = 6,317.82/x
  3. Step 3: Cross multiply
    17,412.57x = 26,107.25 × 6,317.82
  4. Step 4: Simplify right side
    17,412.57x = 164,940,874.61
  5. Step 5: Solve for x
    x = 164,940,874.61/17,412.57
  6. Step 6: Final answer
    x = 9,472.52

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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.