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Finding the Fourth Proportional to 13,906.54, 20,823.36 and 9,532.54

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Solution

The fourth proportional to 13,906.54, 20,823.36 and 9,532.54 is: 14,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.54 : 20,823.36 = 9,532.54 : x
  2. Step 2: Convert to fraction form
    13,906.54/20,823.36 = 9,532.54/x
  3. Step 3: Cross multiply
    13,906.54x = 20,823.36 × 9,532.54
  4. Step 4: Simplify right side
    13,906.54x = 198,499,512.13
  5. Step 5: Solve for x
    x = 198,499,512.13/13,906.54
  6. Step 6: Final answer
    x = 14,273.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.