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Finding the Fourth Proportional to 22,223.14, 33,334.70 and 8,902.18

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Solution

The fourth proportional to 22,223.14, 33,334.70 and 8,902.18 is: 13,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,223.14 : 33,334.70 = 8,902.18 : x
  2. Step 2: Convert to fraction form
    22,223.14/33,334.70 = 8,902.18/x
  3. Step 3: Cross multiply
    22,223.14x = 33,334.70 × 8,902.18
  4. Step 4: Simplify right side
    22,223.14x = 296,751,438.56
  5. Step 5: Solve for x
    x = 296,751,438.56/22,223.14
  6. Step 6: Final answer
    x = 13,353.26

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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.