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Finding the Fourth Proportional to 12,976.66, 17,906.71 and 7,309.60

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Solution

The fourth proportional to 12,976.66, 17,906.71 and 7,309.60 is: 10,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.66 : 17,906.71 = 7,309.60 : x
  2. Step 2: Convert to fraction form
    12,976.66/17,906.71 = 7,309.60/x
  3. Step 3: Cross multiply
    12,976.66x = 17,906.71 × 7,309.60
  4. Step 4: Simplify right side
    12,976.66x = 130,890,887.42
  5. Step 5: Solve for x
    x = 130,890,887.42/12,976.66
  6. Step 6: Final answer
    x = 10,086.64

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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.