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Finding the Fourth Proportional to 21,023.24, 31,533.94 and 5,227.94

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Solution

The fourth proportional to 21,023.24, 31,533.94 and 5,227.94 is: 7,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.24 : 31,533.94 = 5,227.94 : x
  2. Step 2: Convert to fraction form
    21,023.24/31,533.94 = 5,227.94/x
  3. Step 3: Cross multiply
    21,023.24x = 31,533.94 × 5,227.94
  4. Step 4: Simplify right side
    21,023.24x = 164,857,375.54
  5. Step 5: Solve for x
    x = 164,857,375.54/21,023.24
  6. Step 6: Final answer
    x = 7,841.67

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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.