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Finding the Fourth Proportional to 17,603.38, 24,292.66 and 9,645.92

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Solution

The fourth proportional to 17,603.38, 24,292.66 and 9,645.92 is: 13,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.38 : 24,292.66 = 9,645.92 : x
  2. Step 2: Convert to fraction form
    17,603.38/24,292.66 = 9,645.92/x
  3. Step 3: Cross multiply
    17,603.38x = 24,292.66 × 9,645.92
  4. Step 4: Simplify right side
    17,603.38x = 234,324,933.48
  5. Step 5: Solve for x
    x = 234,324,933.48/17,603.38
  6. Step 6: Final answer
    x = 13,311.36

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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.