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Finding the Fourth Proportional to 22,091.96, 33,110.21 and 13,213.84

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Solution

The fourth proportional to 22,091.96, 33,110.21 and 13,213.84 is: 19,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,091.96 : 33,110.21 = 13,213.84 : x
  2. Step 2: Convert to fraction form
    22,091.96/33,110.21 = 13,213.84/x
  3. Step 3: Cross multiply
    22,091.96x = 33,110.21 × 13,213.84
  4. Step 4: Simplify right side
    22,091.96x = 437,513,017.31
  5. Step 5: Solve for x
    x = 437,513,017.31/22,091.96
  6. Step 6: Final answer
    x = 19,804.17

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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.