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Finding the Fourth Proportional to 12,150.70, 18,211.42 and 5,128

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Solution

The fourth proportional to 12,150.70, 18,211.42 and 5,128 is: 7,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.70 : 18,211.42 = 5,128 : x
  2. Step 2: Convert to fraction form
    12,150.70/18,211.42 = 5,128/x
  3. Step 3: Cross multiply
    12,150.70x = 18,211.42 × 5,128
  4. Step 4: Simplify right side
    12,150.70x = 93,388,161.76
  5. Step 5: Solve for x
    x = 93,388,161.76/12,150.70
  6. Step 6: Final answer
    x = 7,685.83

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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.