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Finding the Fourth Proportional to 18,831.84, 25,984.56 and 12,204

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Solution

The fourth proportional to 18,831.84, 25,984.56 and 12,204 is: 16,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,831.84 : 25,984.56 = 12,204 : x
  2. Step 2: Convert to fraction form
    18,831.84/25,984.56 = 12,204/x
  3. Step 3: Cross multiply
    18,831.84x = 25,984.56 × 12,204
  4. Step 4: Simplify right side
    18,831.84x = 317,115,570.24
  5. Step 5: Solve for x
    x = 317,115,570.24/18,831.84
  6. Step 6: Final answer
    x = 16,839.33

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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.