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Finding the Fourth Proportional to 20,212.88, 30,313.56 and 7,898

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Solution

The fourth proportional to 20,212.88, 30,313.56 and 7,898 is: 11,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.88 : 30,313.56 = 7,898 : x
  2. Step 2: Convert to fraction form
    20,212.88/30,313.56 = 7,898/x
  3. Step 3: Cross multiply
    20,212.88x = 30,313.56 × 7,898
  4. Step 4: Simplify right side
    20,212.88x = 239,416,496.88
  5. Step 5: Solve for x
    x = 239,416,496.88/20,212.88
  6. Step 6: Final answer
    x = 11,844.75

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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.