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Finding the Fourth Proportional to 16,414.75, 24,622.16 and 4,102.75

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Solution

The fourth proportional to 16,414.75, 24,622.16 and 4,102.75 is: 6,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.75 : 24,622.16 = 4,102.75 : x
  2. Step 2: Convert to fraction form
    16,414.75/24,622.16 = 4,102.75/x
  3. Step 3: Cross multiply
    16,414.75x = 24,622.16 × 4,102.75
  4. Step 4: Simplify right side
    16,414.75x = 101,018,546.43
  5. Step 5: Solve for x
    x = 101,018,546.43/16,414.75
  6. Step 6: Final answer
    x = 6,154.13

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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.