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Finding the Fourth Proportional to 12,175.72, 16,825.34 and 9,186.22

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Solution

The fourth proportional to 12,175.72, 16,825.34 and 9,186.22 is: 12,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.72 : 16,825.34 = 9,186.22 : x
  2. Step 2: Convert to fraction form
    12,175.72/16,825.34 = 9,186.22/x
  3. Step 3: Cross multiply
    12,175.72x = 16,825.34 × 9,186.22
  4. Step 4: Simplify right side
    12,175.72x = 154,561,274.81
  5. Step 5: Solve for x
    x = 154,561,274.81/12,175.72
  6. Step 6: Final answer
    x = 12,694.22

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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.