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Finding the Fourth Proportional to 21,902.74, 30,228.15 and 13,410.58

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Solution

The fourth proportional to 21,902.74, 30,228.15 and 13,410.58 is: 18,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.74 : 30,228.15 = 13,410.58 : x
  2. Step 2: Convert to fraction form
    21,902.74/30,228.15 = 13,410.58/x
  3. Step 3: Cross multiply
    21,902.74x = 30,228.15 × 13,410.58
  4. Step 4: Simplify right side
    21,902.74x = 405,377,023.83
  5. Step 5: Solve for x
    x = 405,377,023.83/21,902.74
  6. Step 6: Final answer
    x = 18,508.05

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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.