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Finding the Fourth Proportional to 22,381.87, 33,571.02 and 13,015.90

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Solution

The fourth proportional to 22,381.87, 33,571.02 and 13,015.90 is: 19,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.87 : 33,571.02 = 13,015.90 : x
  2. Step 2: Convert to fraction form
    22,381.87/33,571.02 = 13,015.90/x
  3. Step 3: Cross multiply
    22,381.87x = 33,571.02 × 13,015.90
  4. Step 4: Simplify right side
    22,381.87x = 436,957,039.22
  5. Step 5: Solve for x
    x = 436,957,039.22/22,381.87
  6. Step 6: Final answer
    x = 19,522.81

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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.