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Finding the Fourth Proportional to 19,428.72, 29,141.64 and 7,744.56

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Solution

The fourth proportional to 19,428.72, 29,141.64 and 7,744.56 is: 11,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.72 : 29,141.64 = 7,744.56 : x
  2. Step 2: Convert to fraction form
    19,428.72/29,141.64 = 7,744.56/x
  3. Step 3: Cross multiply
    19,428.72x = 29,141.64 × 7,744.56
  4. Step 4: Simplify right side
    19,428.72x = 225,689,179.48
  5. Step 5: Solve for x
    x = 225,689,179.48/19,428.72
  6. Step 6: Final answer
    x = 11,616.27

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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.