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Finding the Fourth Proportional to 20,737.26, 31,105.88 and 5,154.89

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Solution

The fourth proportional to 20,737.26, 31,105.88 and 5,154.89 is: 7,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.26 : 31,105.88 = 5,154.89 : x
  2. Step 2: Convert to fraction form
    20,737.26/31,105.88 = 5,154.89/x
  3. Step 3: Cross multiply
    20,737.26x = 31,105.88 × 5,154.89
  4. Step 4: Simplify right side
    20,737.26x = 160,347,208.45
  5. Step 5: Solve for x
    x = 160,347,208.45/20,737.26
  6. Step 6: Final answer
    x = 7,732.32

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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.