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Finding the Fourth Proportional to 12,164.14, 18,250.31 and 12,082.13

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Solution

The fourth proportional to 12,164.14, 18,250.31 and 12,082.13 is: 18,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.14 : 18,250.31 = 12,082.13 : x
  2. Step 2: Convert to fraction form
    12,164.14/18,250.31 = 12,082.13/x
  3. Step 3: Cross multiply
    12,164.14x = 18,250.31 × 12,082.13
  4. Step 4: Simplify right side
    12,164.14x = 220,502,466.30
  5. Step 5: Solve for x
    x = 220,502,466.30/12,164.14
  6. Step 6: Final answer
    x = 18,127.25

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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.