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Finding the Fourth Proportional to 16,121.84, 24,183.36 and 4,436

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Solution

The fourth proportional to 16,121.84, 24,183.36 and 4,436 is: 6,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.84 : 24,183.36 = 4,436 : x
  2. Step 2: Convert to fraction form
    16,121.84/24,183.36 = 4,436/x
  3. Step 3: Cross multiply
    16,121.84x = 24,183.36 × 4,436
  4. Step 4: Simplify right side
    16,121.84x = 107,277,384.96
  5. Step 5: Solve for x
    x = 107,277,384.96/16,121.84
  6. Step 6: Final answer
    x = 6,654.17

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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.