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Finding the Fourth Proportional to 25,850.80, 38,743.80 and 12,674.80

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Solution

The fourth proportional to 25,850.80, 38,743.80 and 12,674.80 is: 18,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.80 : 38,743.80 = 12,674.80 : x
  2. Step 2: Convert to fraction form
    25,850.80/38,743.80 = 12,674.80/x
  3. Step 3: Cross multiply
    25,850.80x = 38,743.80 × 12,674.80
  4. Step 4: Simplify right side
    25,850.80x = 491,069,916.24
  5. Step 5: Solve for x
    x = 491,069,916.24/25,850.80
  6. Step 6: Final answer
    x = 18,996.31

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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.