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Finding the Fourth Proportional to 26,205, 36,162.36 and 14,268.54

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Solution

The fourth proportional to 26,205, 36,162.36 and 14,268.54 is: 19,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205 : 36,162.36 = 14,268.54 : x
  2. Step 2: Convert to fraction form
    26,205/36,162.36 = 14,268.54/x
  3. Step 3: Cross multiply
    26,205x = 36,162.36 × 14,268.54
  4. Step 4: Simplify right side
    26,205x = 515,984,080.15
  5. Step 5: Solve for x
    x = 515,984,080.15/26,205
  6. Step 6: Final answer
    x = 19,690.29

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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.