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Finding the Fourth Proportional to 21,851.91, 30,146.83 and 12,647.41

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Solution

The fourth proportional to 21,851.91, 30,146.83 and 12,647.41 is: 17,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.91 : 30,146.83 = 12,647.41 : x
  2. Step 2: Convert to fraction form
    21,851.91/30,146.83 = 12,647.41/x
  3. Step 3: Cross multiply
    21,851.91x = 30,146.83 × 12,647.41
  4. Step 4: Simplify right side
    21,851.91x = 381,279,212.22
  5. Step 5: Solve for x
    x = 381,279,212.22/21,851.91
  6. Step 6: Final answer
    x = 17,448.32

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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.