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Finding the Fourth Proportional to 23,204.86, 34,806.66 and 16,082.14

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Solution

The fourth proportional to 23,204.86, 34,806.66 and 16,082.14 is: 24,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.86 : 34,806.66 = 16,082.14 : x
  2. Step 2: Convert to fraction form
    23,204.86/34,806.66 = 16,082.14/x
  3. Step 3: Cross multiply
    23,204.86x = 34,806.66 × 16,082.14
  4. Step 4: Simplify right side
    23,204.86x = 559,765,579.05
  5. Step 5: Solve for x
    x = 559,765,579.05/23,204.86
  6. Step 6: Final answer
    x = 24,122.77

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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.