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Finding the Fourth Proportional to 19,853.92, 29,727.54 and 10,474.42

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Solution

The fourth proportional to 19,853.92, 29,727.54 and 10,474.42 is: 15,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.92 : 29,727.54 = 10,474.42 : x
  2. Step 2: Convert to fraction form
    19,853.92/29,727.54 = 10,474.42/x
  3. Step 3: Cross multiply
    19,853.92x = 29,727.54 × 10,474.42
  4. Step 4: Simplify right side
    19,853.92x = 311,378,739.53
  5. Step 5: Solve for x
    x = 311,378,739.53/19,853.92
  6. Step 6: Final answer
    x = 15,683.49

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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.