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Finding the Fourth Proportional to 13,865.75, 20,794.52 and 4,005.12

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Solution

The fourth proportional to 13,865.75, 20,794.52 and 4,005.12 is: 6,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.75 : 20,794.52 = 4,005.12 : x
  2. Step 2: Convert to fraction form
    13,865.75/20,794.52 = 4,005.12/x
  3. Step 3: Cross multiply
    13,865.75x = 20,794.52 × 4,005.12
  4. Step 4: Simplify right side
    13,865.75x = 83,284,479.98
  5. Step 5: Solve for x
    x = 83,284,479.98/13,865.75
  6. Step 6: Final answer
    x = 6,006.49

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