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Finding the Fourth Proportional to 20,770.65, 31,156.21 and 6,730.57

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Solution

The fourth proportional to 20,770.65, 31,156.21 and 6,730.57 is: 10,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.65 : 31,156.21 = 6,730.57 : x
  2. Step 2: Convert to fraction form
    20,770.65/31,156.21 = 6,730.57/x
  3. Step 3: Cross multiply
    20,770.65x = 31,156.21 × 6,730.57
  4. Step 4: Simplify right side
    20,770.65x = 209,699,052.34
  5. Step 5: Solve for x
    x = 209,699,052.34/20,770.65
  6. Step 6: Final answer
    x = 10,095.93

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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.