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Finding the Fourth Proportional to 22,724.88, 31,361.76 and 13,772.64

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Solution

The fourth proportional to 22,724.88, 31,361.76 and 13,772.64 is: 19,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.88 : 31,361.76 = 13,772.64 : x
  2. Step 2: Convert to fraction form
    22,724.88/31,361.76 = 13,772.64/x
  3. Step 3: Cross multiply
    22,724.88x = 31,361.76 × 13,772.64
  4. Step 4: Simplify right side
    22,724.88x = 431,934,230.25
  5. Step 5: Solve for x
    x = 431,934,230.25/22,724.88
  6. Step 6: Final answer
    x = 19,007.11

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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.