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Finding the Fourth Proportional to 26,431.92, 39,648 and 6,441.48

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Solution

The fourth proportional to 26,431.92, 39,648 and 6,441.48 is: 9,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431.92 : 39,648 = 6,441.48 : x
  2. Step 2: Convert to fraction form
    26,431.92/39,648 = 6,441.48/x
  3. Step 3: Cross multiply
    26,431.92x = 39,648 × 6,441.48
  4. Step 4: Simplify right side
    26,431.92x = 255,391,799.04
  5. Step 5: Solve for x
    x = 255,391,799.04/26,431.92
  6. Step 6: Final answer
    x = 9,662.25

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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.