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Finding the Fourth Proportional to 12,086.94, 18,134.04 and 9,997.50

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Solution

The fourth proportional to 12,086.94, 18,134.04 and 9,997.50 is: 14,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.94 : 18,134.04 = 9,997.50 : x
  2. Step 2: Convert to fraction form
    12,086.94/18,134.04 = 9,997.50/x
  3. Step 3: Cross multiply
    12,086.94x = 18,134.04 × 9,997.50
  4. Step 4: Simplify right side
    12,086.94x = 181,295,064.90
  5. Step 5: Solve for x
    x = 181,295,064.90/12,086.94
  6. Step 6: Final answer
    x = 14,999.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.