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Finding the Fourth Proportional to 25,213.68, 37,826.22 and 8,346.66

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Solution

The fourth proportional to 25,213.68, 37,826.22 and 8,346.66 is: 12,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.68 : 37,826.22 = 8,346.66 : x
  2. Step 2: Convert to fraction form
    25,213.68/37,826.22 = 8,346.66/x
  3. Step 3: Cross multiply
    25,213.68x = 37,826.22 × 8,346.66
  4. Step 4: Simplify right side
    25,213.68x = 315,722,597.43
  5. Step 5: Solve for x
    x = 315,722,597.43/25,213.68
  6. Step 6: Final answer
    x = 12,521.88

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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.