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Finding the Fourth Proportional to 22,782.57, 31,439.97 and 13,351.14

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Solution

The fourth proportional to 22,782.57, 31,439.97 and 13,351.14 is: 18,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.57 : 31,439.97 = 13,351.14 : x
  2. Step 2: Convert to fraction form
    22,782.57/31,439.97 = 13,351.14/x
  3. Step 3: Cross multiply
    22,782.57x = 31,439.97 × 13,351.14
  4. Step 4: Simplify right side
    22,782.57x = 419,759,441.07
  5. Step 5: Solve for x
    x = 419,759,441.07/22,782.57
  6. Step 6: Final answer
    x = 18,424.59

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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.