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Finding the Fourth Proportional to 12,469.20, 17,208.06 and 7,165.68

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Solution

The fourth proportional to 12,469.20, 17,208.06 and 7,165.68 is: 9,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.20 : 17,208.06 = 7,165.68 : x
  2. Step 2: Convert to fraction form
    12,469.20/17,208.06 = 7,165.68/x
  3. Step 3: Cross multiply
    12,469.20x = 17,208.06 × 7,165.68
  4. Step 4: Simplify right side
    12,469.20x = 123,307,451.38
  5. Step 5: Solve for x
    x = 123,307,451.38/12,469.20
  6. Step 6: Final answer
    x = 9,888.96

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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.