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Finding the Fourth Proportional to 21,282.49, 31,906.80 and 13,793.71

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Solution

The fourth proportional to 21,282.49, 31,906.80 and 13,793.71 is: 20,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282.49 : 31,906.80 = 13,793.71 : x
  2. Step 2: Convert to fraction form
    21,282.49/31,906.80 = 13,793.71/x
  3. Step 3: Cross multiply
    21,282.49x = 31,906.80 × 13,793.71
  4. Step 4: Simplify right side
    21,282.49x = 440,113,146.23
  5. Step 5: Solve for x
    x = 440,113,146.23/21,282.49
  6. Step 6: Final answer
    x = 20,679.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.