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Finding the Fourth Proportional to 23,616.93, 35,429.24 and 6,978.64

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Solution

The fourth proportional to 23,616.93, 35,429.24 and 6,978.64 is: 10,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.93 : 35,429.24 = 6,978.64 : x
  2. Step 2: Convert to fraction form
    23,616.93/35,429.24 = 6,978.64/x
  3. Step 3: Cross multiply
    23,616.93x = 35,429.24 × 6,978.64
  4. Step 4: Simplify right side
    23,616.93x = 247,247,911.43
  5. Step 5: Solve for x
    x = 247,247,911.43/23,616.93
  6. Step 6: Final answer
    x = 10,469.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.