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Finding the Fourth Proportional to 14,549.52, 21,825.09 and 4,161

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Solution

The fourth proportional to 14,549.52, 21,825.09 and 4,161 is: 6,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.52 : 21,825.09 = 4,161 : x
  2. Step 2: Convert to fraction form
    14,549.52/21,825.09 = 4,161/x
  3. Step 3: Cross multiply
    14,549.52x = 21,825.09 × 4,161
  4. Step 4: Simplify right side
    14,549.52x = 90,814,199.49
  5. Step 5: Solve for x
    x = 90,814,199.49/14,549.52
  6. Step 6: Final answer
    x = 6,241.73

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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.