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Finding the Fourth Proportional to 25,228.52, 37,843.98 and 9,647.48

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Solution

The fourth proportional to 25,228.52, 37,843.98 and 9,647.48 is: 14,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,228.52 : 37,843.98 = 9,647.48 : x
  2. Step 2: Convert to fraction form
    25,228.52/37,843.98 = 9,647.48/x
  3. Step 3: Cross multiply
    25,228.52x = 37,843.98 × 9,647.48
  4. Step 4: Simplify right side
    25,228.52x = 365,099,040.17
  5. Step 5: Solve for x
    x = 365,099,040.17/25,228.52
  6. Step 6: Final answer
    x = 14,471.68

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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.