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Finding the Fourth Proportional to 21,016.89, 31,519.18 and 7,866.18

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Solution

The fourth proportional to 21,016.89, 31,519.18 and 7,866.18 is: 11,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016.89 : 31,519.18 = 7,866.18 : x
  2. Step 2: Convert to fraction form
    21,016.89/31,519.18 = 7,866.18/x
  3. Step 3: Cross multiply
    21,016.89x = 31,519.18 × 7,866.18
  4. Step 4: Simplify right side
    21,016.89x = 247,935,543.33
  5. Step 5: Solve for x
    x = 247,935,543.33/21,016.89
  6. Step 6: Final answer
    x = 11,796.97

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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.