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Finding the Fourth Proportional to 16,408.14, 24,608.11 and 4,721.36

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Solution

The fourth proportional to 16,408.14, 24,608.11 and 4,721.36 is: 7,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.14 : 24,608.11 = 4,721.36 : x
  2. Step 2: Convert to fraction form
    16,408.14/24,608.11 = 4,721.36/x
  3. Step 3: Cross multiply
    16,408.14x = 24,608.11 × 4,721.36
  4. Step 4: Simplify right side
    16,408.14x = 116,183,758.03
  5. Step 5: Solve for x
    x = 116,183,758.03/16,408.14
  6. Step 6: Final answer
    x = 7,080.86

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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.