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Finding the Fourth Proportional to 12,209.64, 16,849.29 and 6,620.64

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Solution

The fourth proportional to 12,209.64, 16,849.29 and 6,620.64 is: 9,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.64 : 16,849.29 = 6,620.64 : x
  2. Step 2: Convert to fraction form
    12,209.64/16,849.29 = 6,620.64/x
  3. Step 3: Cross multiply
    12,209.64x = 16,849.29 × 6,620.64
  4. Step 4: Simplify right side
    12,209.64x = 111,553,083.35
  5. Step 5: Solve for x
    x = 111,553,083.35/12,209.64
  6. Step 6: Final answer
    x = 9,136.48

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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.