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Finding the Fourth Proportional to 16,881.76, 25,321.92 and 5,194.48

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Solution

The fourth proportional to 16,881.76, 25,321.92 and 5,194.48 is: 7,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.76 : 25,321.92 = 5,194.48 : x
  2. Step 2: Convert to fraction form
    16,881.76/25,321.92 = 5,194.48/x
  3. Step 3: Cross multiply
    16,881.76x = 25,321.92 × 5,194.48
  4. Step 4: Simplify right side
    16,881.76x = 131,534,207.00
  5. Step 5: Solve for x
    x = 131,534,207.00/16,881.76
  6. Step 6: Final answer
    x = 7,791.50

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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.