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Finding the Fourth Proportional to 12,469.63, 17,209.68 and 7,165.48

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Solution

The fourth proportional to 12,469.63, 17,209.68 and 7,165.48 is: 9,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.63 : 17,209.68 = 7,165.48 : x
  2. Step 2: Convert to fraction form
    12,469.63/17,209.68 = 7,165.48/x
  3. Step 3: Cross multiply
    12,469.63x = 17,209.68 × 7,165.48
  4. Step 4: Simplify right side
    12,469.63x = 123,315,531.80
  5. Step 5: Solve for x
    x = 123,315,531.80/12,469.63
  6. Step 6: Final answer
    x = 9,889.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.