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Finding the Fourth Proportional to 20,199.33, 30,299.04 and 9,666.87

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Solution

The fourth proportional to 20,199.33, 30,299.04 and 9,666.87 is: 14,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.33 : 30,299.04 = 9,666.87 : x
  2. Step 2: Convert to fraction form
    20,199.33/30,299.04 = 9,666.87/x
  3. Step 3: Cross multiply
    20,199.33x = 30,299.04 × 9,666.87
  4. Step 4: Simplify right side
    20,199.33x = 292,896,880.80
  5. Step 5: Solve for x
    x = 292,896,880.80/20,199.33
  6. Step 6: Final answer
    x = 14,500.33

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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.