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Finding the Fourth Proportional to 16,414.08, 24,620.96 and 4,102.08

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Solution

The fourth proportional to 16,414.08, 24,620.96 and 4,102.08 is: 6,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.08 : 24,620.96 = 4,102.08 : x
  2. Step 2: Convert to fraction form
    16,414.08/24,620.96 = 4,102.08/x
  3. Step 3: Cross multiply
    16,414.08x = 24,620.96 × 4,102.08
  4. Step 4: Simplify right side
    16,414.08x = 100,997,147.60
  5. Step 5: Solve for x
    x = 100,997,147.60/16,414.08
  6. Step 6: Final answer
    x = 6,153.08

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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.