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Finding the Fourth Proportional to 20,800.70, 31,201.05 and 9,136.70

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Solution

The fourth proportional to 20,800.70, 31,201.05 and 9,136.70 is: 13,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.70 : 31,201.05 = 9,136.70 : x
  2. Step 2: Convert to fraction form
    20,800.70/31,201.05 = 9,136.70/x
  3. Step 3: Cross multiply
    20,800.70x = 31,201.05 × 9,136.70
  4. Step 4: Simplify right side
    20,800.70x = 285,074,633.54
  5. Step 5: Solve for x
    x = 285,074,633.54/20,800.70
  6. Step 6: Final answer
    x = 13,705.05

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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.