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Finding the Fourth Proportional to 13,769.52, 19,002 and 7,481.76

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Solution

The fourth proportional to 13,769.52, 19,002 and 7,481.76 is: 10,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.52 : 19,002 = 7,481.76 : x
  2. Step 2: Convert to fraction form
    13,769.52/19,002 = 7,481.76/x
  3. Step 3: Cross multiply
    13,769.52x = 19,002 × 7,481.76
  4. Step 4: Simplify right side
    13,769.52x = 142,168,403.52
  5. Step 5: Solve for x
    x = 142,168,403.52/13,769.52
  6. Step 6: Final answer
    x = 10,324.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.