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Finding the Fourth Proportional to 12,200.73, 16,831.85 and 8,214.92

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Solution

The fourth proportional to 12,200.73, 16,831.85 and 8,214.92 is: 11,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.73 : 16,831.85 = 8,214.92 : x
  2. Step 2: Convert to fraction form
    12,200.73/16,831.85 = 8,214.92/x
  3. Step 3: Cross multiply
    12,200.73x = 16,831.85 × 8,214.92
  4. Step 4: Simplify right side
    12,200.73x = 138,272,285.30
  5. Step 5: Solve for x
    x = 138,272,285.30/12,200.73
  6. Step 6: Final answer
    x = 11,333.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.