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Finding the Fourth Proportional to 12,275.52, 16,940.20 and 6,686.52

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Solution

The fourth proportional to 12,275.52, 16,940.20 and 6,686.52 is: 9,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.52 : 16,940.20 = 6,686.52 : x
  2. Step 2: Convert to fraction form
    12,275.52/16,940.20 = 6,686.52/x
  3. Step 3: Cross multiply
    12,275.52x = 16,940.20 × 6,686.52
  4. Step 4: Simplify right side
    12,275.52x = 113,270,986.10
  5. Step 5: Solve for x
    x = 113,270,986.10/12,275.52
  6. Step 6: Final answer
    x = 9,227.39

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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.