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Finding the Fourth Proportional to 19,974.46, 29,966.82 and 6,826.83

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Solution

The fourth proportional to 19,974.46, 29,966.82 and 6,826.83 is: 10,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.46 : 29,966.82 = 6,826.83 : x
  2. Step 2: Convert to fraction form
    19,974.46/29,966.82 = 6,826.83/x
  3. Step 3: Cross multiply
    19,974.46x = 29,966.82 × 6,826.83
  4. Step 4: Simplify right side
    19,974.46x = 204,578,385.78
  5. Step 5: Solve for x
    x = 204,578,385.78/19,974.46
  6. Step 6: Final answer
    x = 10,242.00

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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.