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Finding the Fourth Proportional to 16,006.23, 23,997.87 and 7,568.06

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Solution

The fourth proportional to 16,006.23, 23,997.87 and 7,568.06 is: 11,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.23 : 23,997.87 = 7,568.06 : x
  2. Step 2: Convert to fraction form
    16,006.23/23,997.87 = 7,568.06/x
  3. Step 3: Cross multiply
    16,006.23x = 23,997.87 × 7,568.06
  4. Step 4: Simplify right side
    16,006.23x = 181,617,200.04
  5. Step 5: Solve for x
    x = 181,617,200.04/16,006.23
  6. Step 6: Final answer
    x = 11,346.66

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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.