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Finding the Fourth Proportional to 20,149.64, 30,204.21 and 7,666.46

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Solution

The fourth proportional to 20,149.64, 30,204.21 and 7,666.46 is: 11,491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.64 : 30,204.21 = 7,666.46 : x
  2. Step 2: Convert to fraction form
    20,149.64/30,204.21 = 7,666.46/x
  3. Step 3: Cross multiply
    20,149.64x = 30,204.21 × 7,666.46
  4. Step 4: Simplify right side
    20,149.64x = 231,559,367.80
  5. Step 5: Solve for x
    x = 231,559,367.80/20,149.64
  6. Step 6: Final answer
    x = 11,491.99

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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.