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Finding the Fourth Proportional to 25,527.39, 38,291.09 and 7,997.22

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Solution

The fourth proportional to 25,527.39, 38,291.09 and 7,997.22 is: 11,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.39 : 38,291.09 = 7,997.22 : x
  2. Step 2: Convert to fraction form
    25,527.39/38,291.09 = 7,997.22/x
  3. Step 3: Cross multiply
    25,527.39x = 38,291.09 × 7,997.22
  4. Step 4: Simplify right side
    25,527.39x = 306,222,270.77
  5. Step 5: Solve for x
    x = 306,222,270.77/25,527.39
  6. Step 6: Final answer
    x = 11,995.83

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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.