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Finding the Fourth Proportional to 21,028.82, 31,542.54 and 8,545.14

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Solution

The fourth proportional to 21,028.82, 31,542.54 and 8,545.14 is: 12,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,028.82 : 31,542.54 = 8,545.14 : x
  2. Step 2: Convert to fraction form
    21,028.82/31,542.54 = 8,545.14/x
  3. Step 3: Cross multiply
    21,028.82x = 31,542.54 × 8,545.14
  4. Step 4: Simplify right side
    21,028.82x = 269,535,420.26
  5. Step 5: Solve for x
    x = 269,535,420.26/21,028.82
  6. Step 6: Final answer
    x = 12,817.43

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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.