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Finding the Fourth Proportional to 20,718.72, 31,071.36 and 6,864

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Solution

The fourth proportional to 20,718.72, 31,071.36 and 6,864 is: 10,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,718.72 : 31,071.36 = 6,864 : x
  2. Step 2: Convert to fraction form
    20,718.72/31,071.36 = 6,864/x
  3. Step 3: Cross multiply
    20,718.72x = 31,071.36 × 6,864
  4. Step 4: Simplify right side
    20,718.72x = 213,273,815.04
  5. Step 5: Solve for x
    x = 213,273,815.04/20,718.72
  6. Step 6: Final answer
    x = 10,293.77

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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.