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Finding the Fourth Proportional to 21,820, 30,111.92 and 11,884

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Solution

The fourth proportional to 21,820, 30,111.92 and 11,884 is: 16,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820 : 30,111.92 = 11,884 : x
  2. Step 2: Convert to fraction form
    21,820/30,111.92 = 11,884/x
  3. Step 3: Cross multiply
    21,820x = 30,111.92 × 11,884
  4. Step 4: Simplify right side
    21,820x = 357,850,057.28
  5. Step 5: Solve for x
    x = 357,850,057.28/21,820
  6. Step 6: Final answer
    x = 16,400.09

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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.