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Finding the Fourth Proportional to 20,237.64, 30,338.09 and 7,082.84

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Solution

The fourth proportional to 20,237.64, 30,338.09 and 7,082.84 is: 10,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.64 : 30,338.09 = 7,082.84 : x
  2. Step 2: Convert to fraction form
    20,237.64/30,338.09 = 7,082.84/x
  3. Step 3: Cross multiply
    20,237.64x = 30,338.09 × 7,082.84
  4. Step 4: Simplify right side
    20,237.64x = 214,879,711.58
  5. Step 5: Solve for x
    x = 214,879,711.58/20,237.64
  6. Step 6: Final answer
    x = 10,617.82

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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.