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Finding the Fourth Proportional to 12,606.93, 17,405.95 and 10,227.66

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Solution

The fourth proportional to 12,606.93, 17,405.95 and 10,227.66 is: 14,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.93 : 17,405.95 = 10,227.66 : x
  2. Step 2: Convert to fraction form
    12,606.93/17,405.95 = 10,227.66/x
  3. Step 3: Cross multiply
    12,606.93x = 17,405.95 × 10,227.66
  4. Step 4: Simplify right side
    12,606.93x = 178,022,138.58
  5. Step 5: Solve for x
    x = 178,022,138.58/12,606.93
  6. Step 6: Final answer
    x = 14,120.97

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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.