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Finding the Fourth Proportional to 20,453.43, 30,509.76 and 20,114.73

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Solution

The fourth proportional to 20,453.43, 30,509.76 and 20,114.73 is: 30,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.43 : 30,509.76 = 20,114.73 : x
  2. Step 2: Convert to fraction form
    20,453.43/30,509.76 = 20,114.73/x
  3. Step 3: Cross multiply
    20,453.43x = 30,509.76 × 20,114.73
  4. Step 4: Simplify right side
    20,453.43x = 613,695,584.76
  5. Step 5: Solve for x
    x = 613,695,584.76/20,453.43
  6. Step 6: Final answer
    x = 30,004.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.