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Finding the Fourth Proportional to 14,491.26, 21,734.91 and 4,629.42

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Solution

The fourth proportional to 14,491.26, 21,734.91 and 4,629.42 is: 6,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.26 : 21,734.91 = 4,629.42 : x
  2. Step 2: Convert to fraction form
    14,491.26/21,734.91 = 4,629.42/x
  3. Step 3: Cross multiply
    14,491.26x = 21,734.91 × 4,629.42
  4. Step 4: Simplify right side
    14,491.26x = 100,620,027.05
  5. Step 5: Solve for x
    x = 100,620,027.05/14,491.26
  6. Step 6: Final answer
    x = 6,943.50

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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.