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Finding the Fourth Proportional to 8,221.74, 12,333.24 and 2,378.40

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Solution

The fourth proportional to 8,221.74, 12,333.24 and 2,378.40 is: 3,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.74 : 12,333.24 = 2,378.40 : x
  2. Step 2: Convert to fraction form
    8,221.74/12,333.24 = 2,378.40/x
  3. Step 3: Cross multiply
    8,221.74x = 12,333.24 × 2,378.40
  4. Step 4: Simplify right side
    8,221.74x = 29,333,378.02
  5. Step 5: Solve for x
    x = 29,333,378.02/8,221.74
  6. Step 6: Final answer
    x = 3,567.78

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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.