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Finding the Fourth Proportional to 25,309.26, 37,960 and 8,442.57

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Solution

The fourth proportional to 25,309.26, 37,960 and 8,442.57 is: 12,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.26 : 37,960 = 8,442.57 : x
  2. Step 2: Convert to fraction form
    25,309.26/37,960 = 8,442.57/x
  3. Step 3: Cross multiply
    25,309.26x = 37,960 × 8,442.57
  4. Step 4: Simplify right side
    25,309.26x = 320,479,957.20
  5. Step 5: Solve for x
    x = 320,479,957.20/25,309.26
  6. Step 6: Final answer
    x = 12,662.56

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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.