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Finding the Fourth Proportional to 21,851.22, 30,146.13 and 13,453.14

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Solution

The fourth proportional to 21,851.22, 30,146.13 and 13,453.14 is: 18,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.22 : 30,146.13 = 13,453.14 : x
  2. Step 2: Convert to fraction form
    21,851.22/30,146.13 = 13,453.14/x
  3. Step 3: Cross multiply
    21,851.22x = 30,146.13 × 13,453.14
  4. Step 4: Simplify right side
    21,851.22x = 405,560,107.35
  5. Step 5: Solve for x
    x = 405,560,107.35/21,851.22
  6. Step 6: Final answer
    x = 18,560.07

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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.