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Finding the Fourth Proportional to 25,867.26, 38,798.37 and 8,349.66

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Solution

The fourth proportional to 25,867.26, 38,798.37 and 8,349.66 is: 12,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,867.26 : 38,798.37 = 8,349.66 : x
  2. Step 2: Convert to fraction form
    25,867.26/38,798.37 = 8,349.66/x
  3. Step 3: Cross multiply
    25,867.26x = 38,798.37 × 8,349.66
  4. Step 4: Simplify right side
    25,867.26x = 323,953,198.05
  5. Step 5: Solve for x
    x = 323,953,198.05/25,867.26
  6. Step 6: Final answer
    x = 12,523.68

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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.