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Finding the Fourth Proportional to 12,222.34, 18,333.16 and 3,902.85

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Solution

The fourth proportional to 12,222.34, 18,333.16 and 3,902.85 is: 5,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.34 : 18,333.16 = 3,902.85 : x
  2. Step 2: Convert to fraction form
    12,222.34/18,333.16 = 3,902.85/x
  3. Step 3: Cross multiply
    12,222.34x = 18,333.16 × 3,902.85
  4. Step 4: Simplify right side
    12,222.34x = 71,551,563.75
  5. Step 5: Solve for x
    x = 71,551,563.75/12,222.34
  6. Step 6: Final answer
    x = 5,854.16

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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.