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Finding the Fourth Proportional to 12,975.11, 17,909.88 and 9,616.85

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Solution

The fourth proportional to 12,975.11, 17,909.88 and 9,616.85 is: 13,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.11 : 17,909.88 = 9,616.85 : x
  2. Step 2: Convert to fraction form
    12,975.11/17,909.88 = 9,616.85/x
  3. Step 3: Cross multiply
    12,975.11x = 17,909.88 × 9,616.85
  4. Step 4: Simplify right side
    12,975.11x = 172,236,629.48
  5. Step 5: Solve for x
    x = 172,236,629.48/12,975.11
  6. Step 6: Final answer
    x = 13,274.39

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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.