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Finding the Fourth Proportional to 16,298.42, 24,450.67 and 7,414.38

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Solution

The fourth proportional to 16,298.42, 24,450.67 and 7,414.38 is: 11,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.42 : 24,450.67 = 7,414.38 : x
  2. Step 2: Convert to fraction form
    16,298.42/24,450.67 = 7,414.38/x
  3. Step 3: Cross multiply
    16,298.42x = 24,450.67 × 7,414.38
  4. Step 4: Simplify right side
    16,298.42x = 181,286,558.63
  5. Step 5: Solve for x
    x = 181,286,558.63/16,298.42
  6. Step 6: Final answer
    x = 11,122.95

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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.