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Finding the Fourth Proportional to 12,082.34, 18,114.39 and 7,923.39

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Solution

The fourth proportional to 12,082.34, 18,114.39 and 7,923.39 is: 11,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.34 : 18,114.39 = 7,923.39 : x
  2. Step 2: Convert to fraction form
    12,082.34/18,114.39 = 7,923.39/x
  3. Step 3: Cross multiply
    12,082.34x = 18,114.39 × 7,923.39
  4. Step 4: Simplify right side
    12,082.34x = 143,527,483.78
  5. Step 5: Solve for x
    x = 143,527,483.78/12,082.34
  6. Step 6: Final answer
    x = 11,879.11

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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.