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Finding the Fourth Proportional to 16,918.62, 23,352.38 and 9,846.40

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Solution

The fourth proportional to 16,918.62, 23,352.38 and 9,846.40 is: 13,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,918.62 : 23,352.38 = 9,846.40 : x
  2. Step 2: Convert to fraction form
    16,918.62/23,352.38 = 9,846.40/x
  3. Step 3: Cross multiply
    16,918.62x = 23,352.38 × 9,846.40
  4. Step 4: Simplify right side
    16,918.62x = 229,936,874.43
  5. Step 5: Solve for x
    x = 229,936,874.43/16,918.62
  6. Step 6: Final answer
    x = 13,590.76

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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.