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Finding the Fourth Proportional to 16,042.05, 22,137.39 and 8,871.50

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Solution

The fourth proportional to 16,042.05, 22,137.39 and 8,871.50 is: 12,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.05 : 22,137.39 = 8,871.50 : x
  2. Step 2: Convert to fraction form
    16,042.05/22,137.39 = 8,871.50/x
  3. Step 3: Cross multiply
    16,042.05x = 22,137.39 × 8,871.50
  4. Step 4: Simplify right side
    16,042.05x = 196,391,855.39
  5. Step 5: Solve for x
    x = 196,391,855.39/16,042.05
  6. Step 6: Final answer
    x = 12,242.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.