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Finding the Fourth Proportional to 26,916, 40,382.22 and 13,777.68

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Solution

The fourth proportional to 26,916, 40,382.22 and 13,777.68 is: 20,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916 : 40,382.22 = 13,777.68 : x
  2. Step 2: Convert to fraction form
    26,916/40,382.22 = 13,777.68/x
  3. Step 3: Cross multiply
    26,916x = 40,382.22 × 13,777.68
  4. Step 4: Simplify right side
    26,916x = 556,373,304.85
  5. Step 5: Solve for x
    x = 556,373,304.85/26,916
  6. Step 6: Final answer
    x = 20,670.73

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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.