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Finding the Fourth Proportional to 12,201.14, 16,841.52 and 7,165.23

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Solution

The fourth proportional to 12,201.14, 16,841.52 and 7,165.23 is: 9,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.14 : 16,841.52 = 7,165.23 : x
  2. Step 2: Convert to fraction form
    12,201.14/16,841.52 = 7,165.23/x
  3. Step 3: Cross multiply
    12,201.14x = 16,841.52 × 7,165.23
  4. Step 4: Simplify right side
    12,201.14x = 120,673,364.35
  5. Step 5: Solve for x
    x = 120,673,364.35/12,201.14
  6. Step 6: Final answer
    x = 9,890.34

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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.