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Finding the Fourth Proportional to 16,273.24, 22,457.19 and 9,199.24

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Solution

The fourth proportional to 16,273.24, 22,457.19 and 9,199.24 is: 12,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.24 : 22,457.19 = 9,199.24 : x
  2. Step 2: Convert to fraction form
    16,273.24/22,457.19 = 9,199.24/x
  3. Step 3: Cross multiply
    16,273.24x = 22,457.19 × 9,199.24
  4. Step 4: Simplify right side
    16,273.24x = 206,589,080.54
  5. Step 5: Solve for x
    x = 206,589,080.54/16,273.24
  6. Step 6: Final answer
    x = 12,695.02

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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.