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Finding the Fourth Proportional to 17,649.75, 24,357.04 and 9,692

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Solution

The fourth proportional to 17,649.75, 24,357.04 and 9,692 is: 13,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.75 : 24,357.04 = 9,692 : x
  2. Step 2: Convert to fraction form
    17,649.75/24,357.04 = 9,692/x
  3. Step 3: Cross multiply
    17,649.75x = 24,357.04 × 9,692
  4. Step 4: Simplify right side
    17,649.75x = 236,068,431.68
  5. Step 5: Solve for x
    x = 236,068,431.68/17,649.75
  6. Step 6: Final answer
    x = 13,375.17

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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.