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Finding the Fourth Proportional to 17,603.82, 24,293.14 and 9,646.03

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Solution

The fourth proportional to 17,603.82, 24,293.14 and 9,646.03 is: 13,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.82 : 24,293.14 = 9,646.03 : x
  2. Step 2: Convert to fraction form
    17,603.82/24,293.14 = 9,646.03/x
  3. Step 3: Cross multiply
    17,603.82x = 24,293.14 × 9,646.03
  4. Step 4: Simplify right side
    17,603.82x = 234,332,272.39
  5. Step 5: Solve for x
    x = 234,332,272.39/17,603.82
  6. Step 6: Final answer
    x = 13,311.44

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