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Finding the Fourth Proportional to 16,914.52, 23,342.70 and 9,843.16

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Solution

The fourth proportional to 16,914.52, 23,342.70 and 9,843.16 is: 13,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.52 : 23,342.70 = 9,843.16 : x
  2. Step 2: Convert to fraction form
    16,914.52/23,342.70 = 9,843.16/x
  3. Step 3: Cross multiply
    16,914.52x = 23,342.70 × 9,843.16
  4. Step 4: Simplify right side
    16,914.52x = 229,765,930.93
  5. Step 5: Solve for x
    x = 229,765,930.93/16,914.52
  6. Step 6: Final answer
    x = 13,583.95

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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.