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Finding the Fourth Proportional to 21,773.16, 30,046.82 and 11,837.16

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Solution

The fourth proportional to 21,773.16, 30,046.82 and 11,837.16 is: 16,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.16 : 30,046.82 = 11,837.16 : x
  2. Step 2: Convert to fraction form
    21,773.16/30,046.82 = 11,837.16/x
  3. Step 3: Cross multiply
    21,773.16x = 30,046.82 × 11,837.16
  4. Step 4: Simplify right side
    21,773.16x = 355,669,015.83
  5. Step 5: Solve for x
    x = 355,669,015.83/21,773.16
  6. Step 6: Final answer
    x = 16,335.20

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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.