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Finding the Fourth Proportional to 17,723.08, 26,578 and 5,874.67

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Solution

The fourth proportional to 17,723.08, 26,578 and 5,874.67 is: 8,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.08 : 26,578 = 5,874.67 : x
  2. Step 2: Convert to fraction form
    17,723.08/26,578 = 5,874.67/x
  3. Step 3: Cross multiply
    17,723.08x = 26,578 × 5,874.67
  4. Step 4: Simplify right side
    17,723.08x = 156,136,979.26
  5. Step 5: Solve for x
    x = 156,136,979.26/17,723.08
  6. Step 6: Final answer
    x = 8,809.81

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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.