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Finding the Fourth Proportional to 13,769.04, 19,001.33 and 7,481.42

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Solution

The fourth proportional to 13,769.04, 19,001.33 and 7,481.42 is: 10,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.04 : 19,001.33 = 7,481.42 : x
  2. Step 2: Convert to fraction form
    13,769.04/19,001.33 = 7,481.42/x
  3. Step 3: Cross multiply
    13,769.04x = 19,001.33 × 7,481.42
  4. Step 4: Simplify right side
    13,769.04x = 142,156,930.29
  5. Step 5: Solve for x
    x = 142,156,930.29/13,769.04
  6. Step 6: Final answer
    x = 10,324.39

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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.