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Finding the Fourth Proportional to 16,297.98, 24,414.14 and 11,306.16

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Solution

The fourth proportional to 16,297.98, 24,414.14 and 11,306.16 is: 16,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.98 : 24,414.14 = 11,306.16 : x
  2. Step 2: Convert to fraction form
    16,297.98/24,414.14 = 11,306.16/x
  3. Step 3: Cross multiply
    16,297.98x = 24,414.14 × 11,306.16
  4. Step 4: Simplify right side
    16,297.98x = 276,030,173.10
  5. Step 5: Solve for x
    x = 276,030,173.10/16,297.98
  6. Step 6: Final answer
    x = 16,936.47

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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.