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Finding the Fourth Proportional to 22,381.34, 30,884.74 and 12,821.26

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Solution

The fourth proportional to 22,381.34, 30,884.74 and 12,821.26 is: 17,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.34 : 30,884.74 = 12,821.26 : x
  2. Step 2: Convert to fraction form
    22,381.34/30,884.74 = 12,821.26/x
  3. Step 3: Cross multiply
    22,381.34x = 30,884.74 × 12,821.26
  4. Step 4: Simplify right side
    22,381.34x = 395,981,281.57
  5. Step 5: Solve for x
    x = 395,981,281.57/22,381.34
  6. Step 6: Final answer
    x = 17,692.47

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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.