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Finding the Fourth Proportional to 11,986.74, 16,543.44 and 8,997.84

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Solution

The fourth proportional to 11,986.74, 16,543.44 and 8,997.84 is: 12,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.74 : 16,543.44 = 8,997.84 : x
  2. Step 2: Convert to fraction form
    11,986.74/16,543.44 = 8,997.84/x
  3. Step 3: Cross multiply
    11,986.74x = 16,543.44 × 8,997.84
  4. Step 4: Simplify right side
    11,986.74x = 148,855,226.17
  5. Step 5: Solve for x
    x = 148,855,226.17/11,986.74
  6. Step 6: Final answer
    x = 12,418.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.