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Finding the Fourth Proportional to 23,858.22, 35,797.44 and 12,762

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Solution

The fourth proportional to 23,858.22, 35,797.44 and 12,762 is: 19,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.22 : 35,797.44 = 12,762 : x
  2. Step 2: Convert to fraction form
    23,858.22/35,797.44 = 12,762/x
  3. Step 3: Cross multiply
    23,858.22x = 35,797.44 × 12,762
  4. Step 4: Simplify right side
    23,858.22x = 456,846,929.28
  5. Step 5: Solve for x
    x = 456,846,929.28/23,858.22
  6. Step 6: Final answer
    x = 19,148.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.