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Finding the Fourth Proportional to 25,082.46, 37,624.50 and 8,215.02

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Solution

The fourth proportional to 25,082.46, 37,624.50 and 8,215.02 is: 12,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082.46 : 37,624.50 = 8,215.02 : x
  2. Step 2: Convert to fraction form
    25,082.46/37,624.50 = 8,215.02/x
  3. Step 3: Cross multiply
    25,082.46x = 37,624.50 × 8,215.02
  4. Step 4: Simplify right side
    25,082.46x = 309,086,019.99
  5. Step 5: Solve for x
    x = 309,086,019.99/25,082.46
  6. Step 6: Final answer
    x = 12,322.80

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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.