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Finding the Fourth Proportional to 18,082.53, 24,956.78 and 13,825.40

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Solution

The fourth proportional to 18,082.53, 24,956.78 and 13,825.40 is: 19,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.53 : 24,956.78 = 13,825.40 : x
  2. Step 2: Convert to fraction form
    18,082.53/24,956.78 = 13,825.40/x
  3. Step 3: Cross multiply
    18,082.53x = 24,956.78 × 13,825.40
  4. Step 4: Simplify right side
    18,082.53x = 345,037,272.30
  5. Step 5: Solve for x
    x = 345,037,272.30/18,082.53
  6. Step 6: Final answer
    x = 19,081.25

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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.