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Finding the Fourth Proportional to 12,094.12, 16,691.72 and 7,381.14

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Solution

The fourth proportional to 12,094.12, 16,691.72 and 7,381.14 is: 10,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.12 : 16,691.72 = 7,381.14 : x
  2. Step 2: Convert to fraction form
    12,094.12/16,691.72 = 7,381.14/x
  3. Step 3: Cross multiply
    12,094.12x = 16,691.72 × 7,381.14
  4. Step 4: Simplify right side
    12,094.12x = 123,203,922.16
  5. Step 5: Solve for x
    x = 123,203,922.16/12,094.12
  6. Step 6: Final answer
    x = 10,187.09

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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.