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Finding the Fourth Proportional to 18,353.68, 27,534.06 and 7,823.52

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Solution

The fourth proportional to 18,353.68, 27,534.06 and 7,823.52 is: 11,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,353.68 : 27,534.06 = 7,823.52 : x
  2. Step 2: Convert to fraction form
    18,353.68/27,534.06 = 7,823.52/x
  3. Step 3: Cross multiply
    18,353.68x = 27,534.06 × 7,823.52
  4. Step 4: Simplify right side
    18,353.68x = 215,413,269.09
  5. Step 5: Solve for x
    x = 215,413,269.09/18,353.68
  6. Step 6: Final answer
    x = 11,736.79

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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.