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Finding the Fourth Proportional to 19,883.68, 29,839.14 and 8,196.82

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Solution

The fourth proportional to 19,883.68, 29,839.14 and 8,196.82 is: 12,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.68 : 29,839.14 = 8,196.82 : x
  2. Step 2: Convert to fraction form
    19,883.68/29,839.14 = 8,196.82/x
  3. Step 3: Cross multiply
    19,883.68x = 29,839.14 × 8,196.82
  4. Step 4: Simplify right side
    19,883.68x = 244,586,059.53
  5. Step 5: Solve for x
    x = 244,586,059.53/19,883.68
  6. Step 6: Final answer
    x = 12,300.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.