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Finding the Fourth Proportional to 20,777.90, 31,165.76 and 6,737.72

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Solution

The fourth proportional to 20,777.90, 31,165.76 and 6,737.72 is: 10,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.90 : 31,165.76 = 6,737.72 : x
  2. Step 2: Convert to fraction form
    20,777.90/31,165.76 = 6,737.72/x
  3. Step 3: Cross multiply
    20,777.90x = 31,165.76 × 6,737.72
  4. Step 4: Simplify right side
    20,777.90x = 209,986,025.48
  5. Step 5: Solve for x
    x = 209,986,025.48/20,777.90
  6. Step 6: Final answer
    x = 10,106.22

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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.