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Finding the Fourth Proportional to 18,701.86, 28,033.02 and 8,162.64

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Solution

The fourth proportional to 18,701.86, 28,033.02 and 8,162.64 is: 12,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,701.86 : 28,033.02 = 8,162.64 : x
  2. Step 2: Convert to fraction form
    18,701.86/28,033.02 = 8,162.64/x
  3. Step 3: Cross multiply
    18,701.86x = 28,033.02 × 8,162.64
  4. Step 4: Simplify right side
    18,701.86x = 228,823,450.37
  5. Step 5: Solve for x
    x = 228,823,450.37/18,701.86
  6. Step 6: Final answer
    x = 12,235.33

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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.