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Finding the Fourth Proportional to 12,508.28, 17,267.69 and 9,669.24

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Solution

The fourth proportional to 12,508.28, 17,267.69 and 9,669.24 is: 13,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.28 : 17,267.69 = 9,669.24 : x
  2. Step 2: Convert to fraction form
    12,508.28/17,267.69 = 9,669.24/x
  3. Step 3: Cross multiply
    12,508.28x = 17,267.69 × 9,669.24
  4. Step 4: Simplify right side
    12,508.28x = 166,965,438.86
  5. Step 5: Solve for x
    x = 166,965,438.86/12,508.28
  6. Step 6: Final answer
    x = 13,348.39

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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.