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Finding the Fourth Proportional to 13,178.82, 19,769.26 and 3,819

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Solution

The fourth proportional to 13,178.82, 19,769.26 and 3,819 is: 5,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.82 : 19,769.26 = 3,819 : x
  2. Step 2: Convert to fraction form
    13,178.82/19,769.26 = 3,819/x
  3. Step 3: Cross multiply
    13,178.82x = 19,769.26 × 3,819
  4. Step 4: Simplify right side
    13,178.82x = 75,498,803.94
  5. Step 5: Solve for x
    x = 75,498,803.94/13,178.82
  6. Step 6: Final answer
    x = 5,728.80

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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.