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Finding the Fourth Proportional to 25,138.33, 37,709.25 and 7,609.48

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Solution

The fourth proportional to 25,138.33, 37,709.25 and 7,609.48 is: 11,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.33 : 37,709.25 = 7,609.48 : x
  2. Step 2: Convert to fraction form
    25,138.33/37,709.25 = 7,609.48/x
  3. Step 3: Cross multiply
    25,138.33x = 37,709.25 × 7,609.48
  4. Step 4: Simplify right side
    25,138.33x = 286,947,783.69
  5. Step 5: Solve for x
    x = 286,947,783.69/25,138.33
  6. Step 6: Final answer
    x = 11,414.75

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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.