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Finding the Fourth Proportional to 25,270.74, 37,906.26 and 6,549.48

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Solution

The fourth proportional to 25,270.74, 37,906.26 and 6,549.48 is: 9,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,270.74 : 37,906.26 = 6,549.48 : x
  2. Step 2: Convert to fraction form
    25,270.74/37,906.26 = 6,549.48/x
  3. Step 3: Cross multiply
    25,270.74x = 37,906.26 × 6,549.48
  4. Step 4: Simplify right side
    25,270.74x = 248,266,291.74
  5. Step 5: Solve for x
    x = 248,266,291.74/25,270.74
  6. Step 6: Final answer
    x = 9,824.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.