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Finding the Fourth Proportional to 21,993, 33,007.20 and 12,511.14

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Solution

The fourth proportional to 21,993, 33,007.20 and 12,511.14 is: 18,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993 : 33,007.20 = 12,511.14 : x
  2. Step 2: Convert to fraction form
    21,993/33,007.20 = 12,511.14/x
  3. Step 3: Cross multiply
    21,993x = 33,007.20 × 12,511.14
  4. Step 4: Simplify right side
    21,993x = 412,957,700.21
  5. Step 5: Solve for x
    x = 412,957,700.21/21,993
  6. Step 6: Final answer
    x = 18,776.78

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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.