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Finding the Fourth Proportional to 25,264.08, 37,896.36 and 9,678

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Solution

The fourth proportional to 25,264.08, 37,896.36 and 9,678 is: 14,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.08 : 37,896.36 = 9,678 : x
  2. Step 2: Convert to fraction form
    25,264.08/37,896.36 = 9,678/x
  3. Step 3: Cross multiply
    25,264.08x = 37,896.36 × 9,678
  4. Step 4: Simplify right side
    25,264.08x = 366,760,972.08
  5. Step 5: Solve for x
    x = 366,760,972.08/25,264.08
  6. Step 6: Final answer
    x = 14,517.09

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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.