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Finding the Fourth Proportional to 16,065.83, 24,099.69 and 6,205.16

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Solution

The fourth proportional to 16,065.83, 24,099.69 and 6,205.16 is: 9,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.83 : 24,099.69 = 6,205.16 : x
  2. Step 2: Convert to fraction form
    16,065.83/24,099.69 = 6,205.16/x
  3. Step 3: Cross multiply
    16,065.83x = 24,099.69 × 6,205.16
  4. Step 4: Simplify right side
    16,065.83x = 149,542,311.90
  5. Step 5: Solve for x
    x = 149,542,311.90/16,065.83
  6. Step 6: Final answer
    x = 9,308.10

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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.