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Finding the Fourth Proportional to 16,914.38, 23,344.25 and 9,843.08

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Solution

The fourth proportional to 16,914.38, 23,344.25 and 9,843.08 is: 13,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.38 : 23,344.25 = 9,843.08 : x
  2. Step 2: Convert to fraction form
    16,914.38/23,344.25 = 9,843.08/x
  3. Step 3: Cross multiply
    16,914.38x = 23,344.25 × 9,843.08
  4. Step 4: Simplify right side
    16,914.38x = 229,779,154.35
  5. Step 5: Solve for x
    x = 229,779,154.35/16,914.38
  6. Step 6: Final answer
    x = 13,584.84

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Why These Related Problems?

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