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Finding the Fourth Proportional to 16,183.41, 24,277.89 and 7,419.08

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Solution

The fourth proportional to 16,183.41, 24,277.89 and 7,419.08 is: 11,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.41 : 24,277.89 = 7,419.08 : x
  2. Step 2: Convert to fraction form
    16,183.41/24,277.89 = 7,419.08/x
  3. Step 3: Cross multiply
    16,183.41x = 24,277.89 × 7,419.08
  4. Step 4: Simplify right side
    16,183.41x = 180,119,486.75
  5. Step 5: Solve for x
    x = 180,119,486.75/16,183.41
  6. Step 6: Final answer
    x = 11,129.88

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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.