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Finding the Fourth Proportional to 22,941.68, 34,415.88 and 9,794

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Solution

The fourth proportional to 22,941.68, 34,415.88 and 9,794 is: 14,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941.68 : 34,415.88 = 9,794 : x
  2. Step 2: Convert to fraction form
    22,941.68/34,415.88 = 9,794/x
  3. Step 3: Cross multiply
    22,941.68x = 34,415.88 × 9,794
  4. Step 4: Simplify right side
    22,941.68x = 337,069,128.72
  5. Step 5: Solve for x
    x = 337,069,128.72/22,941.68
  6. Step 6: Final answer
    x = 14,692.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.