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Finding the Fourth Proportional to 11,950.02, 16,494.49 and 7,414.08

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Solution

The fourth proportional to 11,950.02, 16,494.49 and 7,414.08 is: 10,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.02 : 16,494.49 = 7,414.08 : x
  2. Step 2: Convert to fraction form
    11,950.02/16,494.49 = 7,414.08/x
  3. Step 3: Cross multiply
    11,950.02x = 16,494.49 × 7,414.08
  4. Step 4: Simplify right side
    11,950.02x = 122,291,468.42
  5. Step 5: Solve for x
    x = 122,291,468.42/11,950.02
  6. Step 6: Final answer
    x = 10,233.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.