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Finding the Fourth Proportional to 15,954.92, 23,942.62 and 7,742.44

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Solution

The fourth proportional to 15,954.92, 23,942.62 and 7,742.44 is: 11,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.92 : 23,942.62 = 7,742.44 : x
  2. Step 2: Convert to fraction form
    15,954.92/23,942.62 = 7,742.44/x
  3. Step 3: Cross multiply
    15,954.92x = 23,942.62 × 7,742.44
  4. Step 4: Simplify right side
    15,954.92x = 185,374,298.79
  5. Step 5: Solve for x
    x = 185,374,298.79/15,954.92
  6. Step 6: Final answer
    x = 11,618.63

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Why These Related Problems?

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