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Finding the Fourth Proportional to 12,396.36, 17,087.28 and 9,739.20

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Solution

The fourth proportional to 12,396.36, 17,087.28 and 9,739.20 is: 13,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.36 : 17,087.28 = 9,739.20 : x
  2. Step 2: Convert to fraction form
    12,396.36/17,087.28 = 9,739.20/x
  3. Step 3: Cross multiply
    12,396.36x = 17,087.28 × 9,739.20
  4. Step 4: Simplify right side
    12,396.36x = 166,416,437.38
  5. Step 5: Solve for x
    x = 166,416,437.38/12,396.36
  6. Step 6: Final answer
    x = 13,424.62

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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.