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Finding the Fourth Proportional to 12,327.76, 17,012.28 and 6,738.80

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Solution

The fourth proportional to 12,327.76, 17,012.28 and 6,738.80 is: 9,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.76 : 17,012.28 = 6,738.80 : x
  2. Step 2: Convert to fraction form
    12,327.76/17,012.28 = 6,738.80/x
  3. Step 3: Cross multiply
    12,327.76x = 17,012.28 × 6,738.80
  4. Step 4: Simplify right side
    12,327.76x = 114,642,352.46
  5. Step 5: Solve for x
    x = 114,642,352.46/12,327.76
  6. Step 6: Final answer
    x = 9,299.53

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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.