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Finding the Fourth Proportional to 20,705.50, 31,059.87 and 6,854.50

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Solution

The fourth proportional to 20,705.50, 31,059.87 and 6,854.50 is: 10,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.50 : 31,059.87 = 6,854.50 : x
  2. Step 2: Convert to fraction form
    20,705.50/31,059.87 = 6,854.50/x
  3. Step 3: Cross multiply
    20,705.50x = 31,059.87 × 6,854.50
  4. Step 4: Simplify right side
    20,705.50x = 212,899,878.92
  5. Step 5: Solve for x
    x = 212,899,878.92/20,705.50
  6. Step 6: Final answer
    x = 10,282.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.