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Finding the Fourth Proportional to 12,299.24, 18,451.22 and 5,278.25

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Solution

The fourth proportional to 12,299.24, 18,451.22 and 5,278.25 is: 7,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.24 : 18,451.22 = 5,278.25 : x
  2. Step 2: Convert to fraction form
    12,299.24/18,451.22 = 5,278.25/x
  3. Step 3: Cross multiply
    12,299.24x = 18,451.22 × 5,278.25
  4. Step 4: Simplify right side
    12,299.24x = 97,390,171.70
  5. Step 5: Solve for x
    x = 97,390,171.70/12,299.24
  6. Step 6: Final answer
    x = 7,918.39

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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.