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Finding the Fourth Proportional to 17,652, 24,361.92 and 10,200

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Solution

The fourth proportional to 17,652, 24,361.92 and 10,200 is: 14,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652 : 24,361.92 = 10,200 : x
  2. Step 2: Convert to fraction form
    17,652/24,361.92 = 10,200/x
  3. Step 3: Cross multiply
    17,652x = 24,361.92 × 10,200
  4. Step 4: Simplify right side
    17,652x = 248,491,584.00
  5. Step 5: Solve for x
    x = 248,491,584.00/17,652
  6. Step 6: Final answer
    x = 14,077.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.