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Finding the Fourth Proportional to 22,765.49, 31,414.07 and 12,692.99

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Solution

The fourth proportional to 22,765.49, 31,414.07 and 12,692.99 is: 17,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.49 : 31,414.07 = 12,692.99 : x
  2. Step 2: Convert to fraction form
    22,765.49/31,414.07 = 12,692.99/x
  3. Step 3: Cross multiply
    22,765.49x = 31,414.07 × 12,692.99
  4. Step 4: Simplify right side
    22,765.49x = 398,738,476.37
  5. Step 5: Solve for x
    x = 398,738,476.37/22,765.49
  6. Step 6: Final answer
    x = 17,515.04

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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.