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Finding the Fourth Proportional to 22,015.13, 33,027.55 and 8,164.13

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Solution

The fourth proportional to 22,015.13, 33,027.55 and 8,164.13 is: 12,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,015.13 : 33,027.55 = 8,164.13 : x
  2. Step 2: Convert to fraction form
    22,015.13/33,027.55 = 8,164.13/x
  3. Step 3: Cross multiply
    22,015.13x = 33,027.55 × 8,164.13
  4. Step 4: Simplify right side
    22,015.13x = 269,641,026.23
  5. Step 5: Solve for x
    x = 269,641,026.23/22,015.13
  6. Step 6: Final answer
    x = 12,247.99

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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.