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Finding the Fourth Proportional to 13,422.22, 18,521.31 and 7,836.46

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Solution

The fourth proportional to 13,422.22, 18,521.31 and 7,836.46 is: 10,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.22 : 18,521.31 = 7,836.46 : x
  2. Step 2: Convert to fraction form
    13,422.22/18,521.31 = 7,836.46/x
  3. Step 3: Cross multiply
    13,422.22x = 18,521.31 × 7,836.46
  4. Step 4: Simplify right side
    13,422.22x = 145,141,504.96
  5. Step 5: Solve for x
    x = 145,141,504.96/13,422.22
  6. Step 6: Final answer
    x = 10,813.52

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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.