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Finding the Fourth Proportional to 22,137.82, 33,209.16 and 11,047.30

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Solution

The fourth proportional to 22,137.82, 33,209.16 and 11,047.30 is: 16,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,137.82 : 33,209.16 = 11,047.30 : x
  2. Step 2: Convert to fraction form
    22,137.82/33,209.16 = 11,047.30/x
  3. Step 3: Cross multiply
    22,137.82x = 33,209.16 × 11,047.30
  4. Step 4: Simplify right side
    22,137.82x = 366,871,553.27
  5. Step 5: Solve for x
    x = 366,871,553.27/22,137.82
  6. Step 6: Final answer
    x = 16,572.16

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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.