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Finding the Fourth Proportional to 13,180, 19,769.44 and 7,629.36

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Solution

The fourth proportional to 13,180, 19,769.44 and 7,629.36 is: 11,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180 : 19,769.44 = 7,629.36 : x
  2. Step 2: Convert to fraction form
    13,180/19,769.44 = 7,629.36/x
  3. Step 3: Cross multiply
    13,180x = 19,769.44 × 7,629.36
  4. Step 4: Simplify right side
    13,180x = 150,828,174.76
  5. Step 5: Solve for x
    x = 150,828,174.76/13,180
  6. Step 6: Final answer
    x = 11,443.72

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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.