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Finding the Fourth Proportional to 13,163.74, 18,146.73 and 10,014.46

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Solution

The fourth proportional to 13,163.74, 18,146.73 and 10,014.46 is: 13,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.74 : 18,146.73 = 10,014.46 : x
  2. Step 2: Convert to fraction form
    13,163.74/18,146.73 = 10,014.46/x
  3. Step 3: Cross multiply
    13,163.74x = 18,146.73 × 10,014.46
  4. Step 4: Simplify right side
    13,163.74x = 181,729,701.72
  5. Step 5: Solve for x
    x = 181,729,701.72/13,163.74
  6. Step 6: Final answer
    x = 13,805.32

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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.