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Finding the Fourth Proportional to 20,810.54, 31,217.94 and 6,770

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Solution

The fourth proportional to 20,810.54, 31,217.94 and 6,770 is: 10,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.54 : 31,217.94 = 6,770 : x
  2. Step 2: Convert to fraction form
    20,810.54/31,217.94 = 6,770/x
  3. Step 3: Cross multiply
    20,810.54x = 31,217.94 × 6,770
  4. Step 4: Simplify right side
    20,810.54x = 211,345,453.80
  5. Step 5: Solve for x
    x = 211,345,453.80/20,810.54
  6. Step 6: Final answer
    x = 10,155.69

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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.