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Finding the Fourth Proportional to 16,164.93, 24,249.84 and 5,774.25

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Solution

The fourth proportional to 16,164.93, 24,249.84 and 5,774.25 is: 8,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.93 : 24,249.84 = 5,774.25 : x
  2. Step 2: Convert to fraction form
    16,164.93/24,249.84 = 5,774.25/x
  3. Step 3: Cross multiply
    16,164.93x = 24,249.84 × 5,774.25
  4. Step 4: Simplify right side
    16,164.93x = 140,024,638.62
  5. Step 5: Solve for x
    x = 140,024,638.62/16,164.93
  6. Step 6: Final answer
    x = 8,662.25

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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.