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Finding the Fourth Proportional to 11,884.93, 17,909.10 and 9,850.61

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Solution

The fourth proportional to 11,884.93, 17,909.10 and 9,850.61 is: 14,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.93 : 17,909.10 = 9,850.61 : x
  2. Step 2: Convert to fraction form
    11,884.93/17,909.10 = 9,850.61/x
  3. Step 3: Cross multiply
    11,884.93x = 17,909.10 × 9,850.61
  4. Step 4: Simplify right side
    11,884.93x = 176,415,604.32
  5. Step 5: Solve for x
    x = 176,415,604.32/11,884.93
  6. Step 6: Final answer
    x = 14,843.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.