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Finding the Fourth Proportional to 12,396.49, 17,106.64 and 6,731.02

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Solution

The fourth proportional to 12,396.49, 17,106.64 and 6,731.02 is: 9,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.49 : 17,106.64 = 6,731.02 : x
  2. Step 2: Convert to fraction form
    12,396.49/17,106.64 = 6,731.02/x
  3. Step 3: Cross multiply
    12,396.49x = 17,106.64 × 6,731.02
  4. Step 4: Simplify right side
    12,396.49x = 115,145,135.97
  5. Step 5: Solve for x
    x = 115,145,135.97/12,396.49
  6. Step 6: Final answer
    x = 9,288.53

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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.