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Finding the Fourth Proportional to 15,992.82, 23,982.27 and 8,494.72

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Solution

The fourth proportional to 15,992.82, 23,982.27 and 8,494.72 is: 12,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.82 : 23,982.27 = 8,494.72 : x
  2. Step 2: Convert to fraction form
    15,992.82/23,982.27 = 8,494.72/x
  3. Step 3: Cross multiply
    15,992.82x = 23,982.27 × 8,494.72
  4. Step 4: Simplify right side
    15,992.82x = 203,722,753.51
  5. Step 5: Solve for x
    x = 203,722,753.51/15,992.82
  6. Step 6: Final answer
    x = 12,738.39

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1.5x scale

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.