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Finding the Fourth Proportional to 16,106.82, 24,167.10 and 8,321.10

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Solution

The fourth proportional to 16,106.82, 24,167.10 and 8,321.10 is: 12,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.82 : 24,167.10 = 8,321.10 : x
  2. Step 2: Convert to fraction form
    16,106.82/24,167.10 = 8,321.10/x
  3. Step 3: Cross multiply
    16,106.82x = 24,167.10 × 8,321.10
  4. Step 4: Simplify right side
    16,106.82x = 201,096,855.81
  5. Step 5: Solve for x
    x = 201,096,855.81/16,106.82
  6. Step 6: Final answer
    x = 12,485.20

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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.