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Finding the Fourth Proportional to 13,769.28, 19,003.68 and 7,801.20

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Solution

The fourth proportional to 13,769.28, 19,003.68 and 7,801.20 is: 10,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.28 : 19,003.68 = 7,801.20 : x
  2. Step 2: Convert to fraction form
    13,769.28/19,003.68 = 7,801.20/x
  3. Step 3: Cross multiply
    13,769.28x = 19,003.68 × 7,801.20
  4. Step 4: Simplify right side
    13,769.28x = 148,251,508.42
  5. Step 5: Solve for x
    x = 148,251,508.42/13,769.28
  6. Step 6: Final answer
    x = 10,766.83

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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.