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Finding the Fourth Proportional to 16,198.20, 22,320.21 and 12,421.17

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Solution

The fourth proportional to 16,198.20, 22,320.21 and 12,421.17 is: 17,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.20 : 22,320.21 = 12,421.17 : x
  2. Step 2: Convert to fraction form
    16,198.20/22,320.21 = 12,421.17/x
  3. Step 3: Cross multiply
    16,198.20x = 22,320.21 × 12,421.17
  4. Step 4: Simplify right side
    16,198.20x = 277,243,122.85
  5. Step 5: Solve for x
    x = 277,243,122.85/16,198.20
  6. Step 6: Final answer
    x = 17,115.67

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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.