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Finding the Fourth Proportional to 18,919.16, 28,378.14 and 5,771

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Solution

The fourth proportional to 18,919.16, 28,378.14 and 5,771 is: 8,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919.16 : 28,378.14 = 5,771 : x
  2. Step 2: Convert to fraction form
    18,919.16/28,378.14 = 5,771/x
  3. Step 3: Cross multiply
    18,919.16x = 28,378.14 × 5,771
  4. Step 4: Simplify right side
    18,919.16x = 163,770,245.94
  5. Step 5: Solve for x
    x = 163,770,245.94/18,919.16
  6. Step 6: Final answer
    x = 8,656.32

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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.