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Finding the Fourth Proportional to 18,212.90, 27,338.78 and 7,831.94

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Solution

The fourth proportional to 18,212.90, 27,338.78 and 7,831.94 is: 11,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.90 : 27,338.78 = 7,831.94 : x
  2. Step 2: Convert to fraction form
    18,212.90/27,338.78 = 7,831.94/x
  3. Step 3: Cross multiply
    18,212.90x = 27,338.78 × 7,831.94
  4. Step 4: Simplify right side
    18,212.90x = 214,115,684.63
  5. Step 5: Solve for x
    x = 214,115,684.63/18,212.90
  6. Step 6: Final answer
    x = 11,756.27

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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.