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Finding the Fourth Proportional to 21,805.70, 30,092.01 and 12,374.42

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Solution

The fourth proportional to 21,805.70, 30,092.01 and 12,374.42 is: 17,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.70 : 30,092.01 = 12,374.42 : x
  2. Step 2: Convert to fraction form
    21,805.70/30,092.01 = 12,374.42/x
  3. Step 3: Cross multiply
    21,805.70x = 30,092.01 × 12,374.42
  4. Step 4: Simplify right side
    21,805.70x = 372,371,170.38
  5. Step 5: Solve for x
    x = 372,371,170.38/21,805.70
  6. Step 6: Final answer
    x = 17,076.78

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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.