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Finding the Fourth Proportional to 16,874.64, 23,286.72 and 9,801.12

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Solution

The fourth proportional to 16,874.64, 23,286.72 and 9,801.12 is: 13,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.64 : 23,286.72 = 9,801.12 : x
  2. Step 2: Convert to fraction form
    16,874.64/23,286.72 = 9,801.12/x
  3. Step 3: Cross multiply
    16,874.64x = 23,286.72 × 9,801.12
  4. Step 4: Simplify right side
    16,874.64x = 228,235,937.13
  5. Step 5: Solve for x
    x = 228,235,937.13/16,874.64
  6. Step 6: Final answer
    x = 13,525.38

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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.