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Finding the Fourth Proportional to 26,381.86, 39,574.84 and 7,662.20

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Solution

The fourth proportional to 26,381.86, 39,574.84 and 7,662.20 is: 11,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,381.86 : 39,574.84 = 7,662.20 : x
  2. Step 2: Convert to fraction form
    26,381.86/39,574.84 = 7,662.20/x
  3. Step 3: Cross multiply
    26,381.86x = 39,574.84 × 7,662.20
  4. Step 4: Simplify right side
    26,381.86x = 303,230,339.05
  5. Step 5: Solve for x
    x = 303,230,339.05/26,381.86
  6. Step 6: Final answer
    x = 11,493.90

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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.