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Finding the Fourth Proportional to 15,960.96, 23,920.32 and 12,249

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Solution

The fourth proportional to 15,960.96, 23,920.32 and 12,249 is: 18,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.96 : 23,920.32 = 12,249 : x
  2. Step 2: Convert to fraction form
    15,960.96/23,920.32 = 12,249/x
  3. Step 3: Cross multiply
    15,960.96x = 23,920.32 × 12,249
  4. Step 4: Simplify right side
    15,960.96x = 292,999,999.68
  5. Step 5: Solve for x
    x = 292,999,999.68/15,960.96
  6. Step 6: Final answer
    x = 18,357.29

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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.