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Finding the Fourth Proportional to 23,324.96, 34,992.90 and 7,742.58

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Solution

The fourth proportional to 23,324.96, 34,992.90 and 7,742.58 is: 11,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,324.96 : 34,992.90 = 7,742.58 : x
  2. Step 2: Convert to fraction form
    23,324.96/34,992.90 = 7,742.58/x
  3. Step 3: Cross multiply
    23,324.96x = 34,992.90 × 7,742.58
  4. Step 4: Simplify right side
    23,324.96x = 270,935,327.68
  5. Step 5: Solve for x
    x = 270,935,327.68/23,324.96
  6. Step 6: Final answer
    x = 11,615.68

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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.