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Finding the Fourth Proportional to 21,778.16, 30,042.78 and 12,825.23

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Solution

The fourth proportional to 21,778.16, 30,042.78 and 12,825.23 is: 17,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.16 : 30,042.78 = 12,825.23 : x
  2. Step 2: Convert to fraction form
    21,778.16/30,042.78 = 12,825.23/x
  3. Step 3: Cross multiply
    21,778.16x = 30,042.78 × 12,825.23
  4. Step 4: Simplify right side
    21,778.16x = 385,305,563.34
  5. Step 5: Solve for x
    x = 385,305,563.34/21,778.16
  6. Step 6: Final answer
    x = 17,692.29

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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.