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Finding the Fourth Proportional to 21,902.87, 30,228.33 and 13,410.71

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Solution

The fourth proportional to 21,902.87, 30,228.33 and 13,410.71 is: 18,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.87 : 30,228.33 = 13,410.71 : x
  2. Step 2: Convert to fraction form
    21,902.87/30,228.33 = 13,410.71/x
  3. Step 3: Cross multiply
    21,902.87x = 30,228.33 × 13,410.71
  4. Step 4: Simplify right side
    21,902.87x = 405,383,216.27
  5. Step 5: Solve for x
    x = 405,383,216.27/21,902.87
  6. Step 6: Final answer
    x = 18,508.23

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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.