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Finding the Fourth Proportional to 12,458.26, 17,193.09 and 8,263.54

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Solution

The fourth proportional to 12,458.26, 17,193.09 and 8,263.54 is: 11,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.26 : 17,193.09 = 8,263.54 : x
  2. Step 2: Convert to fraction form
    12,458.26/17,193.09 = 8,263.54/x
  3. Step 3: Cross multiply
    12,458.26x = 17,193.09 × 8,263.54
  4. Step 4: Simplify right side
    12,458.26x = 142,075,786.94
  5. Step 5: Solve for x
    x = 142,075,786.94/12,458.26
  6. Step 6: Final answer
    x = 11,404.14

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