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Finding the Fourth Proportional to 26,166.66, 39,249.51 and 7,446.84

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Solution

The fourth proportional to 26,166.66, 39,249.51 and 7,446.84 is: 11,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,166.66 : 39,249.51 = 7,446.84 : x
  2. Step 2: Convert to fraction form
    26,166.66/39,249.51 = 7,446.84/x
  3. Step 3: Cross multiply
    26,166.66x = 39,249.51 × 7,446.84
  4. Step 4: Simplify right side
    26,166.66x = 292,284,821.05
  5. Step 5: Solve for x
    x = 292,284,821.05/26,166.66
  6. Step 6: Final answer
    x = 11,170.12

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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.