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Finding the Fourth Proportional to 12,327.63, 17,012.13 and 6,738.63

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Solution

The fourth proportional to 12,327.63, 17,012.13 and 6,738.63 is: 9,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.63 : 17,012.13 = 6,738.63 : x
  2. Step 2: Convert to fraction form
    12,327.63/17,012.13 = 6,738.63/x
  3. Step 3: Cross multiply
    12,327.63x = 17,012.13 × 6,738.63
  4. Step 4: Simplify right side
    12,327.63x = 114,638,449.58
  5. Step 5: Solve for x
    x = 114,638,449.58/12,327.63
  6. Step 6: Final answer
    x = 9,299.31

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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.