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Finding the Fourth Proportional to 25,182.19, 37,765.21 and 8,311.43

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Solution

The fourth proportional to 25,182.19, 37,765.21 and 8,311.43 is: 12,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.19 : 37,765.21 = 8,311.43 : x
  2. Step 2: Convert to fraction form
    25,182.19/37,765.21 = 8,311.43/x
  3. Step 3: Cross multiply
    25,182.19x = 37,765.21 × 8,311.43
  4. Step 4: Simplify right side
    25,182.19x = 313,882,899.35
  5. Step 5: Solve for x
    x = 313,882,899.35/25,182.19
  6. Step 6: Final answer
    x = 12,464.48

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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.