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Finding the Fourth Proportional to 12,284.88, 18,427.32 and 3,519.06

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Solution

The fourth proportional to 12,284.88, 18,427.32 and 3,519.06 is: 5,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.88 : 18,427.32 = 3,519.06 : x
  2. Step 2: Convert to fraction form
    12,284.88/18,427.32 = 3,519.06/x
  3. Step 3: Cross multiply
    12,284.88x = 18,427.32 × 3,519.06
  4. Step 4: Simplify right side
    12,284.88x = 64,846,844.72
  5. Step 5: Solve for x
    x = 64,846,844.72/12,284.88
  6. Step 6: Final answer
    x = 5,278.59

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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.