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Finding the Fourth Proportional to 16,794.16, 23,173.38 and 10,078.32

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Solution

The fourth proportional to 16,794.16, 23,173.38 and 10,078.32 is: 13,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,794.16 : 23,173.38 = 10,078.32 : x
  2. Step 2: Convert to fraction form
    16,794.16/23,173.38 = 10,078.32/x
  3. Step 3: Cross multiply
    16,794.16x = 23,173.38 × 10,078.32
  4. Step 4: Simplify right side
    16,794.16x = 233,548,739.12
  5. Step 5: Solve for x
    x = 233,548,739.12/16,794.16
  6. Step 6: Final answer
    x = 13,906.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.