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Finding the Fourth Proportional to 12,296.57, 16,969.38 and 6,707.57

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Solution

The fourth proportional to 12,296.57, 16,969.38 and 6,707.57 is: 9,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.57 : 16,969.38 = 6,707.57 : x
  2. Step 2: Convert to fraction form
    12,296.57/16,969.38 = 6,707.57/x
  3. Step 3: Cross multiply
    12,296.57x = 16,969.38 × 6,707.57
  4. Step 4: Simplify right side
    12,296.57x = 113,823,304.21
  5. Step 5: Solve for x
    x = 113,823,304.21/12,296.57
  6. Step 6: Final answer
    x = 9,256.51

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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.