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Finding the Fourth Proportional to 23,183.10, 34,774.65 and 5,653.08

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Solution

The fourth proportional to 23,183.10, 34,774.65 and 5,653.08 is: 8,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.10 : 34,774.65 = 5,653.08 : x
  2. Step 2: Convert to fraction form
    23,183.10/34,774.65 = 5,653.08/x
  3. Step 3: Cross multiply
    23,183.10x = 34,774.65 × 5,653.08
  4. Step 4: Simplify right side
    23,183.10x = 196,583,878.42
  5. Step 5: Solve for x
    x = 196,583,878.42/23,183.10
  6. Step 6: Final answer
    x = 8,479.62

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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.