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Finding the Fourth Proportional to 25,845.98, 35,647.94 and 22,267

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Solution

The fourth proportional to 25,845.98, 35,647.94 and 22,267 is: 30,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,845.98 : 35,647.94 = 22,267 : x
  2. Step 2: Convert to fraction form
    25,845.98/35,647.94 = 22,267/x
  3. Step 3: Cross multiply
    25,845.98x = 35,647.94 × 22,267
  4. Step 4: Simplify right side
    25,845.98x = 793,772,679.98
  5. Step 5: Solve for x
    x = 793,772,679.98/25,845.98
  6. Step 6: Final answer
    x = 30,711.65

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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.