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Finding the Fourth Proportional to 11,842.36, 17,754.18 and 8,133.60

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Solution

The fourth proportional to 11,842.36, 17,754.18 and 8,133.60 is: 12,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.36 : 17,754.18 = 8,133.60 : x
  2. Step 2: Convert to fraction form
    11,842.36/17,754.18 = 8,133.60/x
  3. Step 3: Cross multiply
    11,842.36x = 17,754.18 × 8,133.60
  4. Step 4: Simplify right side
    11,842.36x = 144,405,398.45
  5. Step 5: Solve for x
    x = 144,405,398.45/11,842.36
  6. Step 6: Final answer
    x = 12,193.97

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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.