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Finding the Fourth Proportional to 25,610.43, 38,415.66 and 8,082.03

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Solution

The fourth proportional to 25,610.43, 38,415.66 and 8,082.03 is: 12,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,610.43 : 38,415.66 = 8,082.03 : x
  2. Step 2: Convert to fraction form
    25,610.43/38,415.66 = 8,082.03/x
  3. Step 3: Cross multiply
    25,610.43x = 38,415.66 × 8,082.03
  4. Step 4: Simplify right side
    25,610.43x = 310,476,516.59
  5. Step 5: Solve for x
    x = 310,476,516.59/25,610.43
  6. Step 6: Final answer
    x = 12,123.05

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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.