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Finding the Fourth Proportional to 25,207.26, 37,816.54 and 7,678.46

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Solution

The fourth proportional to 25,207.26, 37,816.54 and 7,678.46 is: 11,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207.26 : 37,816.54 = 7,678.46 : x
  2. Step 2: Convert to fraction form
    25,207.26/37,816.54 = 7,678.46/x
  3. Step 3: Cross multiply
    25,207.26x = 37,816.54 × 7,678.46
  4. Step 4: Simplify right side
    25,207.26x = 290,372,789.73
  5. Step 5: Solve for x
    x = 290,372,789.73/25,207.26
  6. Step 6: Final answer
    x = 11,519.41

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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.