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Finding the Fourth Proportional to 23,871.84, 35,829.64 and 12,791.04

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Solution

The fourth proportional to 23,871.84, 35,829.64 and 12,791.04 is: 19,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.84 : 35,829.64 = 12,791.04 : x
  2. Step 2: Convert to fraction form
    23,871.84/35,829.64 = 12,791.04/x
  3. Step 3: Cross multiply
    23,871.84x = 35,829.64 × 12,791.04
  4. Step 4: Simplify right side
    23,871.84x = 458,298,358.43
  5. Step 5: Solve for x
    x = 458,298,358.43/23,871.84
  6. Step 6: Final answer
    x = 19,198.28

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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.