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Finding the Fourth Proportional to 16,462.86, 22,673.16 and 14,224.02

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Solution

The fourth proportional to 16,462.86, 22,673.16 and 14,224.02 is: 19,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.86 : 22,673.16 = 14,224.02 : x
  2. Step 2: Convert to fraction form
    16,462.86/22,673.16 = 14,224.02/x
  3. Step 3: Cross multiply
    16,462.86x = 22,673.16 × 14,224.02
  4. Step 4: Simplify right side
    16,462.86x = 322,503,481.30
  5. Step 5: Solve for x
    x = 322,503,481.30/16,462.86
  6. Step 6: Final answer
    x = 19,589.76

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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.