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Finding the Fourth Proportional to 12,197.95, 16,831.31 and 6,890.83

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Solution

The fourth proportional to 12,197.95, 16,831.31 and 6,890.83 is: 9,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.95 : 16,831.31 = 6,890.83 : x
  2. Step 2: Convert to fraction form
    12,197.95/16,831.31 = 6,890.83/x
  3. Step 3: Cross multiply
    12,197.95x = 16,831.31 × 6,890.83
  4. Step 4: Simplify right side
    12,197.95x = 115,981,695.89
  5. Step 5: Solve for x
    x = 115,981,695.89/12,197.95
  6. Step 6: Final answer
    x = 9,508.29

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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.