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Finding the Fourth Proportional to 19,974.13, 29,961.20 and 6,826.61

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Solution

The fourth proportional to 19,974.13, 29,961.20 and 6,826.61 is: 10,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.13 : 29,961.20 = 6,826.61 : x
  2. Step 2: Convert to fraction form
    19,974.13/29,961.20 = 6,826.61/x
  3. Step 3: Cross multiply
    19,974.13x = 29,961.20 × 6,826.61
  4. Step 4: Simplify right side
    19,974.13x = 204,533,427.53
  5. Step 5: Solve for x
    x = 204,533,427.53/19,974.13
  6. Step 6: Final answer
    x = 10,239.92

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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.