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Finding the Fourth Proportional to 16,164.63, 24,249.74 and 5,069.19

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Solution

The fourth proportional to 16,164.63, 24,249.74 and 5,069.19 is: 7,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.63 : 24,249.74 = 5,069.19 : x
  2. Step 2: Convert to fraction form
    16,164.63/24,249.74 = 5,069.19/x
  3. Step 3: Cross multiply
    16,164.63x = 24,249.74 × 5,069.19
  4. Step 4: Simplify right side
    16,164.63x = 122,926,514.16
  5. Step 5: Solve for x
    x = 122,926,514.16/16,164.63
  6. Step 6: Final answer
    x = 7,604.66

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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.