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Finding the Fourth Proportional to 20,433.70, 30,665.76 and 15,180.94

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Solution

The fourth proportional to 20,433.70, 30,665.76 and 15,180.94 is: 22,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.70 : 30,665.76 = 15,180.94 : x
  2. Step 2: Convert to fraction form
    20,433.70/30,665.76 = 15,180.94/x
  3. Step 3: Cross multiply
    20,433.70x = 30,665.76 × 15,180.94
  4. Step 4: Simplify right side
    20,433.70x = 465,535,062.61
  5. Step 5: Solve for x
    x = 465,535,062.61/20,433.70
  6. Step 6: Final answer
    x = 22,782.71

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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.