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Finding the Fourth Proportional to 20,706.88, 31,060.32 and 6,856.96

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Solution

The fourth proportional to 20,706.88, 31,060.32 and 6,856.96 is: 10,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.88 : 31,060.32 = 6,856.96 : x
  2. Step 2: Convert to fraction form
    20,706.88/31,060.32 = 6,856.96/x
  3. Step 3: Cross multiply
    20,706.88x = 31,060.32 × 6,856.96
  4. Step 4: Simplify right side
    20,706.88x = 212,979,371.83
  5. Step 5: Solve for x
    x = 212,979,371.83/20,706.88
  6. Step 6: Final answer
    x = 10,285.44

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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.