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Finding the Fourth Proportional to 16,317.82, 24,480.78 and 4,631.14

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Solution

The fourth proportional to 16,317.82, 24,480.78 and 4,631.14 is: 6,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,317.82 : 24,480.78 = 4,631.14 : x
  2. Step 2: Convert to fraction form
    16,317.82/24,480.78 = 4,631.14/x
  3. Step 3: Cross multiply
    16,317.82x = 24,480.78 × 4,631.14
  4. Step 4: Simplify right side
    16,317.82x = 113,373,919.49
  5. Step 5: Solve for x
    x = 113,373,919.49/16,317.82
  6. Step 6: Final answer
    x = 6,947.86

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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.