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Finding the Fourth Proportional to 14,549.50, 21,824.25 and 4,161.25

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Solution

The fourth proportional to 14,549.50, 21,824.25 and 4,161.25 is: 6,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.50 : 21,824.25 = 4,161.25 : x
  2. Step 2: Convert to fraction form
    14,549.50/21,824.25 = 4,161.25/x
  3. Step 3: Cross multiply
    14,549.50x = 21,824.25 × 4,161.25
  4. Step 4: Simplify right side
    14,549.50x = 90,816,160.31
  5. Step 5: Solve for x
    x = 90,816,160.31/14,549.50
  6. Step 6: Final answer
    x = 6,241.88

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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.