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Finding the Fourth Proportional to 19,894.27, 29,822.74 and 6,737.44

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Solution

The fourth proportional to 19,894.27, 29,822.74 and 6,737.44 is: 10,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.27 : 29,822.74 = 6,737.44 : x
  2. Step 2: Convert to fraction form
    19,894.27/29,822.74 = 6,737.44/x
  3. Step 3: Cross multiply
    19,894.27x = 29,822.74 × 6,737.44
  4. Step 4: Simplify right side
    19,894.27x = 200,928,921.39
  5. Step 5: Solve for x
    x = 200,928,921.39/19,894.27
  6. Step 6: Final answer
    x = 10,099.84

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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.