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Finding the Fourth Proportional to 26,816.64, 40,227 and 7,094.68

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Solution

The fourth proportional to 26,816.64, 40,227 and 7,094.68 is: 10,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816.64 : 40,227 = 7,094.68 : x
  2. Step 2: Convert to fraction form
    26,816.64/40,227 = 7,094.68/x
  3. Step 3: Cross multiply
    26,816.64x = 40,227 × 7,094.68
  4. Step 4: Simplify right side
    26,816.64x = 285,397,692.36
  5. Step 5: Solve for x
    x = 285,397,692.36/26,816.64
  6. Step 6: Final answer
    x = 10,642.56

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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.