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Finding the Fourth Proportional to 19,471.24, 29,202.81 and 5,617

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Solution

The fourth proportional to 19,471.24, 29,202.81 and 5,617 is: 8,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.24 : 29,202.81 = 5,617 : x
  2. Step 2: Convert to fraction form
    19,471.24/29,202.81 = 5,617/x
  3. Step 3: Cross multiply
    19,471.24x = 29,202.81 × 5,617
  4. Step 4: Simplify right side
    19,471.24x = 164,032,183.77
  5. Step 5: Solve for x
    x = 164,032,183.77/19,471.24
  6. Step 6: Final answer
    x = 8,424.33

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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.