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Finding the Fourth Proportional to 26,884.16, 40,321.92 and 8,416.16

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Solution

The fourth proportional to 26,884.16, 40,321.92 and 8,416.16 is: 12,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.16 : 40,321.92 = 8,416.16 : x
  2. Step 2: Convert to fraction form
    26,884.16/40,321.92 = 8,416.16/x
  3. Step 3: Cross multiply
    26,884.16x = 40,321.92 × 8,416.16
  4. Step 4: Simplify right side
    26,884.16x = 339,355,730.23
  5. Step 5: Solve for x
    x = 339,355,730.23/26,884.16
  6. Step 6: Final answer
    x = 12,622.89

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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.