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Finding the Fourth Proportional to 13,121.28, 19,667 and 5,216.48

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Solution

The fourth proportional to 13,121.28, 19,667 and 5,216.48 is: 7,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.28 : 19,667 = 5,216.48 : x
  2. Step 2: Convert to fraction form
    13,121.28/19,667 = 5,216.48/x
  3. Step 3: Cross multiply
    13,121.28x = 19,667 × 5,216.48
  4. Step 4: Simplify right side
    13,121.28x = 102,592,512.16
  5. Step 5: Solve for x
    x = 102,592,512.16/13,121.28
  6. Step 6: Final answer
    x = 7,818.79

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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.