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Finding the Fourth Proportional to 12,275.66, 16,940.39 and 6,686.66

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Solution

The fourth proportional to 12,275.66, 16,940.39 and 6,686.66 is: 9,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.66 : 16,940.39 = 6,686.66 : x
  2. Step 2: Convert to fraction form
    12,275.66/16,940.39 = 6,686.66/x
  3. Step 3: Cross multiply
    12,275.66x = 16,940.39 × 6,686.66
  4. Step 4: Simplify right side
    12,275.66x = 113,274,510.06
  5. Step 5: Solve for x
    x = 113,274,510.06/12,275.66
  6. Step 6: Final answer
    x = 9,227.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.