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Finding the Fourth Proportional to 16,223.62, 22,369.92 and 11,980.84

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Solution

The fourth proportional to 16,223.62, 22,369.92 and 11,980.84 is: 16,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.62 : 22,369.92 = 11,980.84 : x
  2. Step 2: Convert to fraction form
    16,223.62/22,369.92 = 11,980.84/x
  3. Step 3: Cross multiply
    16,223.62x = 22,369.92 × 11,980.84
  4. Step 4: Simplify right side
    16,223.62x = 268,010,432.33
  5. Step 5: Solve for x
    x = 268,010,432.33/16,223.62
  6. Step 6: Final answer
    x = 16,519.77

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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.