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Finding the Fourth Proportional to 16,705.94, 25,068.72 and 6,183.42

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Solution

The fourth proportional to 16,705.94, 25,068.72 and 6,183.42 is: 9,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.94 : 25,068.72 = 6,183.42 : x
  2. Step 2: Convert to fraction form
    16,705.94/25,068.72 = 6,183.42/x
  3. Step 3: Cross multiply
    16,705.94x = 25,068.72 × 6,183.42
  4. Step 4: Simplify right side
    16,705.94x = 155,010,424.62
  5. Step 5: Solve for x
    x = 155,010,424.62/16,705.94
  6. Step 6: Final answer
    x = 9,278.76

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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.