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Finding the Fourth Proportional to 21,902.81, 30,228.11 and 13,410.54

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Solution

The fourth proportional to 21,902.81, 30,228.11 and 13,410.54 is: 18,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.81 : 30,228.11 = 13,410.54 : x
  2. Step 2: Convert to fraction form
    21,902.81/30,228.11 = 13,410.54/x
  3. Step 3: Cross multiply
    21,902.81x = 30,228.11 × 13,410.54
  4. Step 4: Simplify right side
    21,902.81x = 405,375,278.28
  5. Step 5: Solve for x
    x = 405,375,278.28/21,902.81
  6. Step 6: Final answer
    x = 18,507.91

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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.