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Finding the Fourth Proportional to 16,188.92, 22,338.03 and 10,223.78

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Solution

The fourth proportional to 16,188.92, 22,338.03 and 10,223.78 is: 14,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.92 : 22,338.03 = 10,223.78 : x
  2. Step 2: Convert to fraction form
    16,188.92/22,338.03 = 10,223.78/x
  3. Step 3: Cross multiply
    16,188.92x = 22,338.03 × 10,223.78
  4. Step 4: Simplify right side
    16,188.92x = 228,379,104.35
  5. Step 5: Solve for x
    x = 228,379,104.35/16,188.92
  6. Step 6: Final answer
    x = 14,107.12

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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.