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Finding the Fourth Proportional to 12,979.05, 19,471 and 4,211.61

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Solution

The fourth proportional to 12,979.05, 19,471 and 4,211.61 is: 6,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,979.05 : 19,471 = 4,211.61 : x
  2. Step 2: Convert to fraction form
    12,979.05/19,471 = 4,211.61/x
  3. Step 3: Cross multiply
    12,979.05x = 19,471 × 4,211.61
  4. Step 4: Simplify right side
    12,979.05x = 82,004,258.31
  5. Step 5: Solve for x
    x = 82,004,258.31/12,979.05
  6. Step 6: Final answer
    x = 6,318.20

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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.