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Finding the Fourth Proportional to 22,082.47, 33,122.94 and 6,287.60

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Solution

The fourth proportional to 22,082.47, 33,122.94 and 6,287.60 is: 9,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.47 : 33,122.94 = 6,287.60 : x
  2. Step 2: Convert to fraction form
    22,082.47/33,122.94 = 6,287.60/x
  3. Step 3: Cross multiply
    22,082.47x = 33,122.94 × 6,287.60
  4. Step 4: Simplify right side
    22,082.47x = 208,263,797.54
  5. Step 5: Solve for x
    x = 208,263,797.54/22,082.47
  6. Step 6: Final answer
    x = 9,431.18

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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.