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Finding the Fourth Proportional to 25,207.83, 37,817.97 and 10,420.97

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Solution

The fourth proportional to 25,207.83, 37,817.97 and 10,420.97 is: 15,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207.83 : 37,817.97 = 10,420.97 : x
  2. Step 2: Convert to fraction form
    25,207.83/37,817.97 = 10,420.97/x
  3. Step 3: Cross multiply
    25,207.83x = 37,817.97 × 10,420.97
  4. Step 4: Simplify right side
    25,207.83x = 394,099,878.73
  5. Step 5: Solve for x
    x = 394,099,878.73/25,207.83
  6. Step 6: Final answer
    x = 15,634.03

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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.