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Finding the Fourth Proportional to 12,146.63, 18,212.15 and 5,124.73

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Solution

The fourth proportional to 12,146.63, 18,212.15 and 5,124.73 is: 7,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.63 : 18,212.15 = 5,124.73 : x
  2. Step 2: Convert to fraction form
    12,146.63/18,212.15 = 5,124.73/x
  3. Step 3: Cross multiply
    12,146.63x = 18,212.15 × 5,124.73
  4. Step 4: Simplify right side
    12,146.63x = 93,332,287.26
  5. Step 5: Solve for x
    x = 93,332,287.26/12,146.63
  6. Step 6: Final answer
    x = 7,683.80

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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.