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Finding the Fourth Proportional to 13,203.24, 19,777.28 and 7,921.48

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Solution

The fourth proportional to 13,203.24, 19,777.28 and 7,921.48 is: 11,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.24 : 19,777.28 = 7,921.48 : x
  2. Step 2: Convert to fraction form
    13,203.24/19,777.28 = 7,921.48/x
  3. Step 3: Cross multiply
    13,203.24x = 19,777.28 × 7,921.48
  4. Step 4: Simplify right side
    13,203.24x = 156,665,327.97
  5. Step 5: Solve for x
    x = 156,665,327.97/13,203.24
  6. Step 6: Final answer
    x = 11,865.67

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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.