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Finding the Fourth Proportional to 23,082.40, 31,860.24 and 13,654.24

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Solution

The fourth proportional to 23,082.40, 31,860.24 and 13,654.24 is: 18,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.40 : 31,860.24 = 13,654.24 : x
  2. Step 2: Convert to fraction form
    23,082.40/31,860.24 = 13,654.24/x
  3. Step 3: Cross multiply
    23,082.40x = 31,860.24 × 13,654.24
  4. Step 4: Simplify right side
    23,082.40x = 435,027,363.42
  5. Step 5: Solve for x
    x = 435,027,363.42/23,082.40
  6. Step 6: Final answer
    x = 18,846.71

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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.