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Finding the Fourth Proportional to 20,698.26, 31,047.40 and 12,380.70

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Solution

The fourth proportional to 20,698.26, 31,047.40 and 12,380.70 is: 18,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.26 : 31,047.40 = 12,380.70 : x
  2. Step 2: Convert to fraction form
    20,698.26/31,047.40 = 12,380.70/x
  3. Step 3: Cross multiply
    20,698.26x = 31,047.40 × 12,380.70
  4. Step 4: Simplify right side
    20,698.26x = 384,388,545.18
  5. Step 5: Solve for x
    x = 384,388,545.18/20,698.26
  6. Step 6: Final answer
    x = 18,571.06

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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.