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Finding the Fourth Proportional to 25,773.21, 38,657.97 and 8,003.39

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Solution

The fourth proportional to 25,773.21, 38,657.97 and 8,003.39 is: 12,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.21 : 38,657.97 = 8,003.39 : x
  2. Step 2: Convert to fraction form
    25,773.21/38,657.97 = 8,003.39/x
  3. Step 3: Cross multiply
    25,773.21x = 38,657.97 × 8,003.39
  4. Step 4: Simplify right side
    25,773.21x = 309,394,617.23
  5. Step 5: Solve for x
    x = 309,394,617.23/25,773.21
  6. Step 6: Final answer
    x = 12,004.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.