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Finding the Fourth Proportional to 19,906.46, 29,856.90 and 7,424.87

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Solution

The fourth proportional to 19,906.46, 29,856.90 and 7,424.87 is: 11,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.46 : 29,856.90 = 7,424.87 : x
  2. Step 2: Convert to fraction form
    19,906.46/29,856.90 = 7,424.87/x
  3. Step 3: Cross multiply
    19,906.46x = 29,856.90 × 7,424.87
  4. Step 4: Simplify right side
    19,906.46x = 221,683,479.66
  5. Step 5: Solve for x
    x = 221,683,479.66/19,906.46
  6. Step 6: Final answer
    x = 11,136.26

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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.