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Finding the Fourth Proportional to 22,649.40, 33,906.90 and 16,831.80

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Solution

The fourth proportional to 22,649.40, 33,906.90 and 16,831.80 is: 25,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.40 : 33,906.90 = 16,831.80 : x
  2. Step 2: Convert to fraction form
    22,649.40/33,906.90 = 16,831.80/x
  3. Step 3: Cross multiply
    22,649.40x = 33,906.90 × 16,831.80
  4. Step 4: Simplify right side
    22,649.40x = 570,714,159.42
  5. Step 5: Solve for x
    x = 570,714,159.42/22,649.40
  6. Step 6: Final answer
    x = 25,197.76

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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.