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Finding the Fourth Proportional to 14,244.94, 21,367.41 and 3,857.50

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Solution

The fourth proportional to 14,244.94, 21,367.41 and 3,857.50 is: 5,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.94 : 21,367.41 = 3,857.50 : x
  2. Step 2: Convert to fraction form
    14,244.94/21,367.41 = 3,857.50/x
  3. Step 3: Cross multiply
    14,244.94x = 21,367.41 × 3,857.50
  4. Step 4: Simplify right side
    14,244.94x = 82,424,657.95
  5. Step 5: Solve for x
    x = 82,424,657.95/14,244.94
  6. Step 6: Final answer
    x = 5,786.24

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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.