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Finding the Fourth Proportional to 12,265.69, 16,928.86 and 7,229.61

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Solution

The fourth proportional to 12,265.69, 16,928.86 and 7,229.61 is: 9,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.69 : 16,928.86 = 7,229.61 : x
  2. Step 2: Convert to fraction form
    12,265.69/16,928.86 = 7,229.61/x
  3. Step 3: Cross multiply
    12,265.69x = 16,928.86 × 7,229.61
  4. Step 4: Simplify right side
    12,265.69x = 122,389,078.31
  5. Step 5: Solve for x
    x = 122,389,078.31/12,265.69
  6. Step 6: Final answer
    x = 9,978.17

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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.