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Finding the Fourth Proportional to 25,435.84, 35,082.18 and 22,286.56

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Solution

The fourth proportional to 25,435.84, 35,082.18 and 22,286.56 is: 30,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.84 : 35,082.18 = 22,286.56 : x
  2. Step 2: Convert to fraction form
    25,435.84/35,082.18 = 22,286.56/x
  3. Step 3: Cross multiply
    25,435.84x = 35,082.18 × 22,286.56
  4. Step 4: Simplify right side
    25,435.84x = 781,861,109.50
  5. Step 5: Solve for x
    x = 781,861,109.50/25,435.84
  6. Step 6: Final answer
    x = 30,738.56

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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.