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Finding the Fourth Proportional to 27,997.86, 42,003.54 and 8,275.98

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Solution

The fourth proportional to 27,997.86, 42,003.54 and 8,275.98 is: 12,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.86 : 42,003.54 = 8,275.98 : x
  2. Step 2: Convert to fraction form
    27,997.86/42,003.54 = 8,275.98/x
  3. Step 3: Cross multiply
    27,997.86x = 42,003.54 × 8,275.98
  4. Step 4: Simplify right side
    27,997.86x = 347,620,456.97
  5. Step 5: Solve for x
    x = 347,620,456.97/27,997.86
  6. Step 6: Final answer
    x = 12,415.97

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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.