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Finding the Fourth Proportional to 26,295, 36,287.16 and 16,876.32

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Solution

The fourth proportional to 26,295, 36,287.16 and 16,876.32 is: 23,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295 : 36,287.16 = 16,876.32 : x
  2. Step 2: Convert to fraction form
    26,295/36,287.16 = 16,876.32/x
  3. Step 3: Cross multiply
    26,295x = 36,287.16 × 16,876.32
  4. Step 4: Simplify right side
    26,295x = 612,393,724.05
  5. Step 5: Solve for x
    x = 612,393,724.05/26,295
  6. Step 6: Final answer
    x = 23,289.36

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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.