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Finding the Fourth Proportional to 12,512.70, 18,742.46 and 10,161.68

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Solution

The fourth proportional to 12,512.70, 18,742.46 and 10,161.68 is: 15,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.70 : 18,742.46 = 10,161.68 : x
  2. Step 2: Convert to fraction form
    12,512.70/18,742.46 = 10,161.68/x
  3. Step 3: Cross multiply
    12,512.70x = 18,742.46 × 10,161.68
  4. Step 4: Simplify right side
    12,512.70x = 190,454,736.41
  5. Step 5: Solve for x
    x = 190,454,736.41/12,512.70
  6. Step 6: Final answer
    x = 15,220.91

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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.