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Finding the Fourth Proportional to 25,048, 37,584.96 and 12,736

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Solution

The fourth proportional to 25,048, 37,584.96 and 12,736 is: 19,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,048 : 37,584.96 = 12,736 : x
  2. Step 2: Convert to fraction form
    25,048/37,584.96 = 12,736/x
  3. Step 3: Cross multiply
    25,048x = 37,584.96 × 12,736
  4. Step 4: Simplify right side
    25,048x = 478,682,050.56
  5. Step 5: Solve for x
    x = 478,682,050.56/25,048
  6. Step 6: Final answer
    x = 19,110.59

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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.