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Finding the Fourth Proportional to 20,737.27, 31,106.04 and 7,584.49

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Solution

The fourth proportional to 20,737.27, 31,106.04 and 7,584.49 is: 11,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.27 : 31,106.04 = 7,584.49 : x
  2. Step 2: Convert to fraction form
    20,737.27/31,106.04 = 7,584.49/x
  3. Step 3: Cross multiply
    20,737.27x = 31,106.04 × 7,584.49
  4. Step 4: Simplify right side
    20,737.27x = 235,923,449.32
  5. Step 5: Solve for x
    x = 235,923,449.32/20,737.27
  6. Step 6: Final answer
    x = 11,376.78

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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.