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Finding the Fourth Proportional to 16,234.90, 22,408.96 and 9,521.98

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Solution

The fourth proportional to 16,234.90, 22,408.96 and 9,521.98 is: 13,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.90 : 22,408.96 = 9,521.98 : x
  2. Step 2: Convert to fraction form
    16,234.90/22,408.96 = 9,521.98/x
  3. Step 3: Cross multiply
    16,234.90x = 22,408.96 × 9,521.98
  4. Step 4: Simplify right side
    16,234.90x = 213,377,668.94
  5. Step 5: Solve for x
    x = 213,377,668.94/16,234.90
  6. Step 6: Final answer
    x = 13,143.15

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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.