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Finding the Fourth Proportional to 20,453.77, 30,664.07 and 9,200.87

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Solution

The fourth proportional to 20,453.77, 30,664.07 and 9,200.87 is: 13,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.77 : 30,664.07 = 9,200.87 : x
  2. Step 2: Convert to fraction form
    20,453.77/30,664.07 = 9,200.87/x
  3. Step 3: Cross multiply
    20,453.77x = 30,664.07 × 9,200.87
  4. Step 4: Simplify right side
    20,453.77x = 282,136,121.74
  5. Step 5: Solve for x
    x = 282,136,121.74/20,453.77
  6. Step 6: Final answer
    x = 13,793.84

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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.