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Finding the Fourth Proportional to 25,272.02, 37,866 and 15,381.38

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Solution

The fourth proportional to 25,272.02, 37,866 and 15,381.38 is: 23,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,272.02 : 37,866 = 15,381.38 : x
  2. Step 2: Convert to fraction form
    25,272.02/37,866 = 15,381.38/x
  3. Step 3: Cross multiply
    25,272.02x = 37,866 × 15,381.38
  4. Step 4: Simplify right side
    25,272.02x = 582,431,335.08
  5. Step 5: Solve for x
    x = 582,431,335.08/25,272.02
  6. Step 6: Final answer
    x = 23,046.49

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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.