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Finding the Fourth Proportional to 25,105.46, 37,658.48 and 7,575.44

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Solution

The fourth proportional to 25,105.46, 37,658.48 and 7,575.44 is: 11,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.46 : 37,658.48 = 7,575.44 : x
  2. Step 2: Convert to fraction form
    25,105.46/37,658.48 = 7,575.44/x
  3. Step 3: Cross multiply
    25,105.46x = 37,658.48 × 7,575.44
  4. Step 4: Simplify right side
    25,105.46x = 285,279,555.73
  5. Step 5: Solve for x
    x = 285,279,555.73/25,105.46
  6. Step 6: Final answer
    x = 11,363.25

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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.