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Finding the Fourth Proportional to 20,706.50, 31,064.70 and 6,855.50

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Solution

The fourth proportional to 20,706.50, 31,064.70 and 6,855.50 is: 10,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.50 : 31,064.70 = 6,855.50 : x
  2. Step 2: Convert to fraction form
    20,706.50/31,064.70 = 6,855.50/x
  3. Step 3: Cross multiply
    20,706.50x = 31,064.70 × 6,855.50
  4. Step 4: Simplify right side
    20,706.50x = 212,964,050.85
  5. Step 5: Solve for x
    x = 212,964,050.85/20,706.50
  6. Step 6: Final answer
    x = 10,284.89

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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.