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Finding the Fourth Proportional to 26,617.16, 39,922.62 and 6,894.20

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Solution

The fourth proportional to 26,617.16, 39,922.62 and 6,894.20 is: 10,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,617.16 : 39,922.62 = 6,894.20 : x
  2. Step 2: Convert to fraction form
    26,617.16/39,922.62 = 6,894.20/x
  3. Step 3: Cross multiply
    26,617.16x = 39,922.62 × 6,894.20
  4. Step 4: Simplify right side
    26,617.16x = 275,234,327.19
  5. Step 5: Solve for x
    x = 275,234,327.19/26,617.16
  6. Step 6: Final answer
    x = 10,340.49

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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.