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Finding the Fourth Proportional to 26,813.96, 40,226.72 and 9,046.40

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Solution

The fourth proportional to 26,813.96, 40,226.72 and 9,046.40 is: 13,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,813.96 : 40,226.72 = 9,046.40 : x
  2. Step 2: Convert to fraction form
    26,813.96/40,226.72 = 9,046.40/x
  3. Step 3: Cross multiply
    26,813.96x = 40,226.72 × 9,046.40
  4. Step 4: Simplify right side
    26,813.96x = 363,906,999.81
  5. Step 5: Solve for x
    x = 363,906,999.81/26,813.96
  6. Step 6: Final answer
    x = 13,571.55

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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.