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Finding the Fourth Proportional to 21,819, 30,110.22 and 11,883

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Solution

The fourth proportional to 21,819, 30,110.22 and 11,883 is: 16,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819 : 30,110.22 = 11,883 : x
  2. Step 2: Convert to fraction form
    21,819/30,110.22 = 11,883/x
  3. Step 3: Cross multiply
    21,819x = 30,110.22 × 11,883
  4. Step 4: Simplify right side
    21,819x = 357,799,744.26
  5. Step 5: Solve for x
    x = 357,799,744.26/21,819
  6. Step 6: Final answer
    x = 16,398.54

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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.