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Finding the Fourth Proportional to 25,219.32, 37,814.22 and 8,573.82

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Solution

The fourth proportional to 25,219.32, 37,814.22 and 8,573.82 is: 12,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219.32 : 37,814.22 = 8,573.82 : x
  2. Step 2: Convert to fraction form
    25,219.32/37,814.22 = 8,573.82/x
  3. Step 3: Cross multiply
    25,219.32x = 37,814.22 × 8,573.82
  4. Step 4: Simplify right side
    25,219.32x = 324,212,315.72
  5. Step 5: Solve for x
    x = 324,212,315.72/25,219.32
  6. Step 6: Final answer
    x = 12,855.71

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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.