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Finding the Fourth Proportional to 26,424.52, 39,625.26 and 9,997

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Solution

The fourth proportional to 26,424.52, 39,625.26 and 9,997 is: 14,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424.52 : 39,625.26 = 9,997 : x
  2. Step 2: Convert to fraction form
    26,424.52/39,625.26 = 9,997/x
  3. Step 3: Cross multiply
    26,424.52x = 39,625.26 × 9,997
  4. Step 4: Simplify right side
    26,424.52x = 396,133,724.22
  5. Step 5: Solve for x
    x = 396,133,724.22/26,424.52
  6. Step 6: Final answer
    x = 14,991.14

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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.