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Finding the Fourth Proportional to 16,145.77, 24,217.99 and 5,618.20

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Solution

The fourth proportional to 16,145.77, 24,217.99 and 5,618.20 is: 8,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.77 : 24,217.99 = 5,618.20 : x
  2. Step 2: Convert to fraction form
    16,145.77/24,217.99 = 5,618.20/x
  3. Step 3: Cross multiply
    16,145.77x = 24,217.99 × 5,618.20
  4. Step 4: Simplify right side
    16,145.77x = 136,061,390.33
  5. Step 5: Solve for x
    x = 136,061,390.33/16,145.77
  6. Step 6: Final answer
    x = 8,427.06

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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.