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Finding the Fourth Proportional to 16,198.35, 22,354.16 and 9,124.35

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Solution

The fourth proportional to 16,198.35, 22,354.16 and 9,124.35 is: 12,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.35 : 22,354.16 = 9,124.35 : x
  2. Step 2: Convert to fraction form
    16,198.35/22,354.16 = 9,124.35/x
  3. Step 3: Cross multiply
    16,198.35x = 22,354.16 × 9,124.35
  4. Step 4: Simplify right side
    16,198.35x = 203,967,134.17
  5. Step 5: Solve for x
    x = 203,967,134.17/16,198.35
  6. Step 6: Final answer
    x = 12,591.85

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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.