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Finding the Fourth Proportional to 20,274.96, 30,371.66 and 10,112.70

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Solution

The fourth proportional to 20,274.96, 30,371.66 and 10,112.70 is: 15,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.96 : 30,371.66 = 10,112.70 : x
  2. Step 2: Convert to fraction form
    20,274.96/30,371.66 = 10,112.70/x
  3. Step 3: Cross multiply
    20,274.96x = 30,371.66 × 10,112.70
  4. Step 4: Simplify right side
    20,274.96x = 307,139,644.22
  5. Step 5: Solve for x
    x = 307,139,644.22/20,274.96
  6. Step 6: Final answer
    x = 15,148.71

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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.