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Finding the Fourth Proportional to 12,097.71, 18,137.34 and 5,519.30

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Solution

The fourth proportional to 12,097.71, 18,137.34 and 5,519.30 is: 8,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.71 : 18,137.34 = 5,519.30 : x
  2. Step 2: Convert to fraction form
    12,097.71/18,137.34 = 5,519.30/x
  3. Step 3: Cross multiply
    12,097.71x = 18,137.34 × 5,519.30
  4. Step 4: Simplify right side
    12,097.71x = 100,105,396.51
  5. Step 5: Solve for x
    x = 100,105,396.51/12,097.71
  6. Step 6: Final answer
    x = 8,274.74

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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.