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Finding the Fourth Proportional to 17,881.36, 26,822.05 and 6,194.57

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Solution

The fourth proportional to 17,881.36, 26,822.05 and 6,194.57 is: 9,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.36 : 26,822.05 = 6,194.57 : x
  2. Step 2: Convert to fraction form
    17,881.36/26,822.05 = 6,194.57/x
  3. Step 3: Cross multiply
    17,881.36x = 26,822.05 × 6,194.57
  4. Step 4: Simplify right side
    17,881.36x = 166,150,916.67
  5. Step 5: Solve for x
    x = 166,150,916.67/17,881.36
  6. Step 6: Final answer
    x = 9,291.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.