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Finding the Fourth Proportional to 15,196.36, 22,796.82 and 6,876.19

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Solution

The fourth proportional to 15,196.36, 22,796.82 and 6,876.19 is: 10,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.36 : 22,796.82 = 6,876.19 : x
  2. Step 2: Convert to fraction form
    15,196.36/22,796.82 = 6,876.19/x
  3. Step 3: Cross multiply
    15,196.36x = 22,796.82 × 6,876.19
  4. Step 4: Simplify right side
    15,196.36x = 156,755,265.72
  5. Step 5: Solve for x
    x = 156,755,265.72/15,196.36
  6. Step 6: Final answer
    x = 10,315.32

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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.