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Finding the Fourth Proportional to 21,209.56, 31,793.58 and 11,854.12

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Solution

The fourth proportional to 21,209.56, 31,793.58 and 11,854.12 is: 17,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.56 : 31,793.58 = 11,854.12 : x
  2. Step 2: Convert to fraction form
    21,209.56/31,793.58 = 11,854.12/x
  3. Step 3: Cross multiply
    21,209.56x = 31,793.58 × 11,854.12
  4. Step 4: Simplify right side
    21,209.56x = 376,884,912.55
  5. Step 5: Solve for x
    x = 376,884,912.55/21,209.56
  6. Step 6: Final answer
    x = 17,769.58

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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.