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Finding the Fourth Proportional to 14,909.86, 22,382.07 and 7,997.86

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Solution

The fourth proportional to 14,909.86, 22,382.07 and 7,997.86 is: 12,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.86 : 22,382.07 = 7,997.86 : x
  2. Step 2: Convert to fraction form
    14,909.86/22,382.07 = 7,997.86/x
  3. Step 3: Cross multiply
    14,909.86x = 22,382.07 × 7,997.86
  4. Step 4: Simplify right side
    14,909.86x = 179,008,662.37
  5. Step 5: Solve for x
    x = 179,008,662.37/14,909.86
  6. Step 6: Final answer
    x = 12,006.06

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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.