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Finding the Fourth Proportional to 17,653.28, 24,361.52 and 9,696

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Solution

The fourth proportional to 17,653.28, 24,361.52 and 9,696 is: 13,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.28 : 24,361.52 = 9,696 : x
  2. Step 2: Convert to fraction form
    17,653.28/24,361.52 = 9,696/x
  3. Step 3: Cross multiply
    17,653.28x = 24,361.52 × 9,696
  4. Step 4: Simplify right side
    17,653.28x = 236,209,297.92
  5. Step 5: Solve for x
    x = 236,209,297.92/17,653.28
  6. Step 6: Final answer
    x = 13,380.48

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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.