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Finding the Fourth Proportional to 25,130.25, 37,695 and 8,501.97

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Solution

The fourth proportional to 25,130.25, 37,695 and 8,501.97 is: 12,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,130.25 : 37,695 = 8,501.97 : x
  2. Step 2: Convert to fraction form
    25,130.25/37,695 = 8,501.97/x
  3. Step 3: Cross multiply
    25,130.25x = 37,695 × 8,501.97
  4. Step 4: Simplify right side
    25,130.25x = 320,481,759.15
  5. Step 5: Solve for x
    x = 320,481,759.15/25,130.25
  6. Step 6: Final answer
    x = 12,752.83

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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.