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Finding the Fourth Proportional to 13,369.44, 20,047.86 and 4,005.84

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Solution

The fourth proportional to 13,369.44, 20,047.86 and 4,005.84 is: 6,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,369.44 : 20,047.86 = 4,005.84 : x
  2. Step 2: Convert to fraction form
    13,369.44/20,047.86 = 4,005.84/x
  3. Step 3: Cross multiply
    13,369.44x = 20,047.86 × 4,005.84
  4. Step 4: Simplify right side
    13,369.44x = 80,308,519.50
  5. Step 5: Solve for x
    x = 80,308,519.50/13,369.44
  6. Step 6: Final answer
    x = 6,006.87

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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.