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Finding the Fourth Proportional to 20,777.38, 31,166.49 and 6,737.37

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Solution

The fourth proportional to 20,777.38, 31,166.49 and 6,737.37 is: 10,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.38 : 31,166.49 = 6,737.37 : x
  2. Step 2: Convert to fraction form
    20,777.38/31,166.49 = 6,737.37/x
  3. Step 3: Cross multiply
    20,777.38x = 31,166.49 × 6,737.37
  4. Step 4: Simplify right side
    20,777.38x = 209,980,141.04
  5. Step 5: Solve for x
    x = 209,980,141.04/20,777.38
  6. Step 6: Final answer
    x = 10,106.19

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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.