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Finding the Fourth Proportional to 26,944.25, 40,415.43 and 8,223.53

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Solution

The fourth proportional to 26,944.25, 40,415.43 and 8,223.53 is: 12,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,944.25 : 40,415.43 = 8,223.53 : x
  2. Step 2: Convert to fraction form
    26,944.25/40,415.43 = 8,223.53/x
  3. Step 3: Cross multiply
    26,944.25x = 40,415.43 × 8,223.53
  4. Step 4: Simplify right side
    26,944.25x = 332,357,501.07
  5. Step 5: Solve for x
    x = 332,357,501.07/26,944.25
  6. Step 6: Final answer
    x = 12,335.01

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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.