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Finding the Fourth Proportional to 16,198.70, 22,354.57 and 9,029.35

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Solution

The fourth proportional to 16,198.70, 22,354.57 and 9,029.35 is: 12,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.70 : 22,354.57 = 9,029.35 : x
  2. Step 2: Convert to fraction form
    16,198.70/22,354.57 = 9,029.35/x
  3. Step 3: Cross multiply
    16,198.70x = 22,354.57 × 9,029.35
  4. Step 4: Simplify right side
    16,198.70x = 201,847,236.63
  5. Step 5: Solve for x
    x = 201,847,236.63/16,198.70
  6. Step 6: Final answer
    x = 12,460.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.