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Finding the Fourth Proportional to 14,238.53, 19,647.67 and 8,269.03

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Solution

The fourth proportional to 14,238.53, 19,647.67 and 8,269.03 is: 11,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.53 : 19,647.67 = 8,269.03 : x
  2. Step 2: Convert to fraction form
    14,238.53/19,647.67 = 8,269.03/x
  3. Step 3: Cross multiply
    14,238.53x = 19,647.67 × 8,269.03
  4. Step 4: Simplify right side
    14,238.53x = 162,467,172.66
  5. Step 5: Solve for x
    x = 162,467,172.66/14,238.53
  6. Step 6: Final answer
    x = 11,410.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.