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Finding the Fourth Proportional to 19,906.52, 29,870.78 and 8,217

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Solution

The fourth proportional to 19,906.52, 29,870.78 and 8,217 is: 12,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.52 : 29,870.78 = 8,217 : x
  2. Step 2: Convert to fraction form
    19,906.52/29,870.78 = 8,217/x
  3. Step 3: Cross multiply
    19,906.52x = 29,870.78 × 8,217
  4. Step 4: Simplify right side
    19,906.52x = 245,448,158.18
  5. Step 5: Solve for x
    x = 245,448,158.18/19,906.52
  6. Step 6: Final answer
    x = 12,330.04

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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.