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Finding the Fourth Proportional to 25,208.57, 37,803.86 and 8,338.49

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Solution

The fourth proportional to 25,208.57, 37,803.86 and 8,338.49 is: 12,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.57 : 37,803.86 = 8,338.49 : x
  2. Step 2: Convert to fraction form
    25,208.57/37,803.86 = 8,338.49/x
  3. Step 3: Cross multiply
    25,208.57x = 37,803.86 × 8,338.49
  4. Step 4: Simplify right side
    25,208.57x = 315,227,310.44
  5. Step 5: Solve for x
    x = 315,227,310.44/25,208.57
  6. Step 6: Final answer
    x = 12,504.77

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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.