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Finding the Fourth Proportional to 19,997.72, 29,986.52 and 6,666

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Solution

The fourth proportional to 19,997.72, 29,986.52 and 6,666 is: 9,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.72 : 29,986.52 = 6,666 : x
  2. Step 2: Convert to fraction form
    19,997.72/29,986.52 = 6,666/x
  3. Step 3: Cross multiply
    19,997.72x = 29,986.52 × 6,666
  4. Step 4: Simplify right side
    19,997.72x = 199,890,142.32
  5. Step 5: Solve for x
    x = 199,890,142.32/19,997.72
  6. Step 6: Final answer
    x = 9,995.65

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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.