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Finding the Fourth Proportional to 17,920.48, 26,874.34 and 6,824.22

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Solution

The fourth proportional to 17,920.48, 26,874.34 and 6,824.22 is: 10,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.48 : 26,874.34 = 6,824.22 : x
  2. Step 2: Convert to fraction form
    17,920.48/26,874.34 = 6,824.22/x
  3. Step 3: Cross multiply
    17,920.48x = 26,874.34 × 6,824.22
  4. Step 4: Simplify right side
    17,920.48x = 183,396,408.51
  5. Step 5: Solve for x
    x = 183,396,408.51/17,920.48
  6. Step 6: Final answer
    x = 10,233.90

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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.