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Finding the Fourth Proportional to 18,668.50, 28,003.86 and 6,189.64

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Solution

The fourth proportional to 18,668.50, 28,003.86 and 6,189.64 is: 9,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.50 : 28,003.86 = 6,189.64 : x
  2. Step 2: Convert to fraction form
    18,668.50/28,003.86 = 6,189.64/x
  3. Step 3: Cross multiply
    18,668.50x = 28,003.86 × 6,189.64
  4. Step 4: Simplify right side
    18,668.50x = 173,333,742.00
  5. Step 5: Solve for x
    x = 173,333,742.00/18,668.50
  6. Step 6: Final answer
    x = 9,284.83

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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.