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Finding the Fourth Proportional to 21,825.90, 30,119.78 and 12,394.46

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Solution

The fourth proportional to 21,825.90, 30,119.78 and 12,394.46 is: 17,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.90 : 30,119.78 = 12,394.46 : x
  2. Step 2: Convert to fraction form
    21,825.90/30,119.78 = 12,394.46/x
  3. Step 3: Cross multiply
    21,825.90x = 30,119.78 × 12,394.46
  4. Step 4: Simplify right side
    21,825.90x = 373,318,408.42
  5. Step 5: Solve for x
    x = 373,318,408.42/21,825.90
  6. Step 6: Final answer
    x = 17,104.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.