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Finding the Fourth Proportional to 17,881.72, 26,831.50 and 8,028.04

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Solution

The fourth proportional to 17,881.72, 26,831.50 and 8,028.04 is: 12,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.72 : 26,831.50 = 8,028.04 : x
  2. Step 2: Convert to fraction form
    17,881.72/26,831.50 = 8,028.04/x
  3. Step 3: Cross multiply
    17,881.72x = 26,831.50 × 8,028.04
  4. Step 4: Simplify right side
    17,881.72x = 215,404,355.26
  5. Step 5: Solve for x
    x = 215,404,355.26/17,881.72
  6. Step 6: Final answer
    x = 12,046.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.