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Finding the Fourth Proportional to 19,876.96, 29,813.58 and 6,727.82

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Solution

The fourth proportional to 19,876.96, 29,813.58 and 6,727.82 is: 10,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.96 : 29,813.58 = 6,727.82 : x
  2. Step 2: Convert to fraction form
    19,876.96/29,813.58 = 6,727.82/x
  3. Step 3: Cross multiply
    19,876.96x = 29,813.58 × 6,727.82
  4. Step 4: Simplify right side
    19,876.96x = 200,580,399.80
  5. Step 5: Solve for x
    x = 200,580,399.80/19,876.96
  6. Step 6: Final answer
    x = 10,091.10

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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.