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Finding the Fourth Proportional to 26,022, 35,910.34 and 14,085.34

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Solution

The fourth proportional to 26,022, 35,910.34 and 14,085.34 is: 19,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 35,910.34 = 14,085.34 : x
  2. Step 2: Convert to fraction form
    26,022/35,910.34 = 14,085.34/x
  3. Step 3: Cross multiply
    26,022x = 35,910.34 × 14,085.34
  4. Step 4: Simplify right side
    26,022x = 505,809,348.42
  5. Step 5: Solve for x
    x = 505,809,348.42/26,022
  6. Step 6: Final answer
    x = 19,437.76

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