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Finding the Fourth Proportional to 13,769.38, 19,001.61 and 7,481.76

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Solution

The fourth proportional to 13,769.38, 19,001.61 and 7,481.76 is: 10,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.38 : 19,001.61 = 7,481.76 : x
  2. Step 2: Convert to fraction form
    13,769.38/19,001.61 = 7,481.76/x
  3. Step 3: Cross multiply
    13,769.38x = 19,001.61 × 7,481.76
  4. Step 4: Simplify right side
    13,769.38x = 142,165,485.63
  5. Step 5: Solve for x
    x = 142,165,485.63/13,769.38
  6. Step 6: Final answer
    x = 10,324.76

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Why These Related Problems?

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