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Finding the Fourth Proportional to 13,173.77, 19,738.71 and 9,269.97

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Solution

The fourth proportional to 13,173.77, 19,738.71 and 9,269.97 is: 13,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.77 : 19,738.71 = 9,269.97 : x
  2. Step 2: Convert to fraction form
    13,173.77/19,738.71 = 9,269.97/x
  3. Step 3: Cross multiply
    13,173.77x = 19,738.71 × 9,269.97
  4. Step 4: Simplify right side
    13,173.77x = 182,977,249.54
  5. Step 5: Solve for x
    x = 182,977,249.54/13,173.77
  6. Step 6: Final answer
    x = 13,889.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.