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Finding the Fourth Proportional to 22,193.68, 33,292.68 and 6,399.60

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Solution

The fourth proportional to 22,193.68, 33,292.68 and 6,399.60 is: 9,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,193.68 : 33,292.68 = 6,399.60 : x
  2. Step 2: Convert to fraction form
    22,193.68/33,292.68 = 6,399.60/x
  3. Step 3: Cross multiply
    22,193.68x = 33,292.68 × 6,399.60
  4. Step 4: Simplify right side
    22,193.68x = 213,059,834.93
  5. Step 5: Solve for x
    x = 213,059,834.93/22,193.68
  6. Step 6: Final answer
    x = 9,600.02

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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.