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Finding the Fourth Proportional to 16,414.84, 24,622.26 and 9,832.78

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Solution

The fourth proportional to 16,414.84, 24,622.26 and 9,832.78 is: 14,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.84 : 24,622.26 = 9,832.78 : x
  2. Step 2: Convert to fraction form
    16,414.84/24,622.26 = 9,832.78/x
  3. Step 3: Cross multiply
    16,414.84x = 24,622.26 × 9,832.78
  4. Step 4: Simplify right side
    16,414.84x = 242,105,265.68
  5. Step 5: Solve for x
    x = 242,105,265.68/16,414.84
  6. Step 6: Final answer
    x = 14,749.17

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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.