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Finding the Fourth Proportional to 13,852.92, 20,793.24 and 7,292.94

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Solution

The fourth proportional to 13,852.92, 20,793.24 and 7,292.94 is: 10,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.92 : 20,793.24 = 7,292.94 : x
  2. Step 2: Convert to fraction form
    13,852.92/20,793.24 = 7,292.94/x
  3. Step 3: Cross multiply
    13,852.92x = 20,793.24 × 7,292.94
  4. Step 4: Simplify right side
    13,852.92x = 151,643,851.73
  5. Step 5: Solve for x
    x = 151,643,851.73/13,852.92
  6. Step 6: Final answer
    x = 10,946.71

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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.