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Finding the Fourth Proportional to 25,227.96, 37,841.91 and 7,697.94

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Solution

The fourth proportional to 25,227.96, 37,841.91 and 7,697.94 is: 11,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.96 : 37,841.91 = 7,697.94 : x
  2. Step 2: Convert to fraction form
    25,227.96/37,841.91 = 7,697.94/x
  3. Step 3: Cross multiply
    25,227.96x = 37,841.91 × 7,697.94
  4. Step 4: Simplify right side
    25,227.96x = 291,304,752.67
  5. Step 5: Solve for x
    x = 291,304,752.67/25,227.96
  6. Step 6: Final answer
    x = 11,546.90

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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.