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Finding the Fourth Proportional to 11,831.90, 16,311.06 and 9,309.64

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Solution

The fourth proportional to 11,831.90, 16,311.06 and 9,309.64 is: 12,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.90 : 16,311.06 = 9,309.64 : x
  2. Step 2: Convert to fraction form
    11,831.90/16,311.06 = 9,309.64/x
  3. Step 3: Cross multiply
    11,831.90x = 16,311.06 × 9,309.64
  4. Step 4: Simplify right side
    11,831.90x = 151,850,096.62
  5. Step 5: Solve for x
    x = 151,850,096.62/11,831.90
  6. Step 6: Final answer
    x = 12,833.96

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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.