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Finding the Fourth Proportional to 12,603.24, 17,414.73 and 9,971.55

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Solution

The fourth proportional to 12,603.24, 17,414.73 and 9,971.55 is: 13,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.24 : 17,414.73 = 9,971.55 : x
  2. Step 2: Convert to fraction form
    12,603.24/17,414.73 = 9,971.55/x
  3. Step 3: Cross multiply
    12,603.24x = 17,414.73 × 9,971.55
  4. Step 4: Simplify right side
    12,603.24x = 173,651,850.93
  5. Step 5: Solve for x
    x = 173,651,850.93/12,603.24
  6. Step 6: Final answer
    x = 13,778.35

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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.