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Finding the Fourth Proportional to 15,954.96, 23,941.20 and 8,163.84

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Solution

The fourth proportional to 15,954.96, 23,941.20 and 8,163.84 is: 12,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.96 : 23,941.20 = 8,163.84 : x
  2. Step 2: Convert to fraction form
    15,954.96/23,941.20 = 8,163.84/x
  3. Step 3: Cross multiply
    15,954.96x = 23,941.20 × 8,163.84
  4. Step 4: Simplify right side
    15,954.96x = 195,452,126.21
  5. Step 5: Solve for x
    x = 195,452,126.21/15,954.96
  6. Step 6: Final answer
    x = 12,250.24

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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.