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Finding the Fourth Proportional to 20,222.74, 30,314.94 and 7,066.56

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Solution

The fourth proportional to 20,222.74, 30,314.94 and 7,066.56 is: 10,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.74 : 30,314.94 = 7,066.56 : x
  2. Step 2: Convert to fraction form
    20,222.74/30,314.94 = 7,066.56/x
  3. Step 3: Cross multiply
    20,222.74x = 30,314.94 × 7,066.56
  4. Step 4: Simplify right side
    20,222.74x = 214,222,342.41
  5. Step 5: Solve for x
    x = 214,222,342.41/20,222.74
  6. Step 6: Final answer
    x = 10,593.14

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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.