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Finding the Fourth Proportional to 19,909.49, 29,876.37 and 8,221.19

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Solution

The fourth proportional to 19,909.49, 29,876.37 and 8,221.19 is: 12,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.49 : 29,876.37 = 8,221.19 : x
  2. Step 2: Convert to fraction form
    19,909.49/29,876.37 = 8,221.19/x
  3. Step 3: Cross multiply
    19,909.49x = 29,876.37 × 8,221.19
  4. Step 4: Simplify right side
    19,909.49x = 245,619,164.90
  5. Step 5: Solve for x
    x = 245,619,164.90/19,909.49
  6. Step 6: Final answer
    x = 12,336.79

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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.