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Finding the Fourth Proportional to 20,212.38, 30,322.89 and 7,065.18

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Solution

The fourth proportional to 20,212.38, 30,322.89 and 7,065.18 is: 10,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.38 : 30,322.89 = 7,065.18 : x
  2. Step 2: Convert to fraction form
    20,212.38/30,322.89 = 7,065.18/x
  3. Step 3: Cross multiply
    20,212.38x = 30,322.89 × 7,065.18
  4. Step 4: Simplify right side
    20,212.38x = 214,236,675.97
  5. Step 5: Solve for x
    x = 214,236,675.97/20,212.38
  6. Step 6: Final answer
    x = 10,599.28

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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.