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Finding the Fourth Proportional to 12,278.69, 18,418.16 and 6,729

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Solution

The fourth proportional to 12,278.69, 18,418.16 and 6,729 is: 10,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.69 : 18,418.16 = 6,729 : x
  2. Step 2: Convert to fraction form
    12,278.69/18,418.16 = 6,729/x
  3. Step 3: Cross multiply
    12,278.69x = 18,418.16 × 6,729
  4. Step 4: Simplify right side
    12,278.69x = 123,935,765.00
  5. Step 5: Solve for x
    x = 123,935,765.00/12,278.69
  6. Step 6: Final answer
    x = 10,093.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.