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Finding the Fourth Proportional to 22,727.25, 31,363.74 and 12,791.25

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Solution

The fourth proportional to 22,727.25, 31,363.74 and 12,791.25 is: 17,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.25 : 31,363.74 = 12,791.25 : x
  2. Step 2: Convert to fraction form
    22,727.25/31,363.74 = 12,791.25/x
  3. Step 3: Cross multiply
    22,727.25x = 31,363.74 × 12,791.25
  4. Step 4: Simplify right side
    22,727.25x = 401,181,439.28
  5. Step 5: Solve for x
    x = 401,181,439.28/22,727.25
  6. Step 6: Final answer
    x = 17,652.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.