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Finding the Fourth Proportional to 21,131.88, 31,697.81 and 5,549.50

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Solution

The fourth proportional to 21,131.88, 31,697.81 and 5,549.50 is: 8,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.88 : 31,697.81 = 5,549.50 : x
  2. Step 2: Convert to fraction form
    21,131.88/31,697.81 = 5,549.50/x
  3. Step 3: Cross multiply
    21,131.88x = 31,697.81 × 5,549.50
  4. Step 4: Simplify right side
    21,131.88x = 175,906,996.60
  5. Step 5: Solve for x
    x = 175,906,996.60/21,131.88
  6. Step 6: Final answer
    x = 8,324.25

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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.