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Finding the Fourth Proportional to 16,116.50, 24,211.80 and 11,447.86

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Solution

The fourth proportional to 16,116.50, 24,211.80 and 11,447.86 is: 17,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.50 : 24,211.80 = 11,447.86 : x
  2. Step 2: Convert to fraction form
    16,116.50/24,211.80 = 11,447.86/x
  3. Step 3: Cross multiply
    16,116.50x = 24,211.80 × 11,447.86
  4. Step 4: Simplify right side
    16,116.50x = 277,173,236.22
  5. Step 5: Solve for x
    x = 277,173,236.22/16,116.50
  6. Step 6: Final answer
    x = 17,198.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.