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Finding the Fourth Proportional to 22,724.35, 31,361.11 and 13,772.70

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Solution

The fourth proportional to 22,724.35, 31,361.11 and 13,772.70 is: 19,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.35 : 31,361.11 = 13,772.70 : x
  2. Step 2: Convert to fraction form
    22,724.35/31,361.11 = 13,772.70/x
  3. Step 3: Cross multiply
    22,724.35x = 31,361.11 × 13,772.70
  4. Step 4: Simplify right side
    22,724.35x = 431,927,125.27
  5. Step 5: Solve for x
    x = 431,927,125.27/22,724.35
  6. Step 6: Final answer
    x = 19,007.24

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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.