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Finding the Fourth Proportional to 13,166.77, 18,170.19 and 7,198.51

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Solution

The fourth proportional to 13,166.77, 18,170.19 and 7,198.51 is: 9,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.77 : 18,170.19 = 7,198.51 : x
  2. Step 2: Convert to fraction form
    13,166.77/18,170.19 = 7,198.51/x
  3. Step 3: Cross multiply
    13,166.77x = 18,170.19 × 7,198.51
  4. Step 4: Simplify right side
    13,166.77x = 130,798,294.42
  5. Step 5: Solve for x
    x = 130,798,294.42/13,166.77
  6. Step 6: Final answer
    x = 9,933.97

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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.