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Finding the Fourth Proportional to 26,226.22, 36,205.59 and 17,773

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Solution

The fourth proportional to 26,226.22, 36,205.59 and 17,773 is: 24,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,226.22 : 36,205.59 = 17,773 : x
  2. Step 2: Convert to fraction form
    26,226.22/36,205.59 = 17,773/x
  3. Step 3: Cross multiply
    26,226.22x = 36,205.59 × 17,773
  4. Step 4: Simplify right side
    26,226.22x = 643,481,951.07
  5. Step 5: Solve for x
    x = 643,481,951.07/26,226.22
  6. Step 6: Final answer
    x = 24,535.83

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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.