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Finding the Fourth Proportional to 12,299.16, 18,447.24 and 3,415.08

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Solution

The fourth proportional to 12,299.16, 18,447.24 and 3,415.08 is: 5,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.16 : 18,447.24 = 3,415.08 : x
  2. Step 2: Convert to fraction form
    12,299.16/18,447.24 = 3,415.08/x
  3. Step 3: Cross multiply
    12,299.16x = 18,447.24 × 3,415.08
  4. Step 4: Simplify right side
    12,299.16x = 62,998,800.38
  5. Step 5: Solve for x
    x = 62,998,800.38/12,299.16
  6. Step 6: Final answer
    x = 5,122.20

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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.