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Finding the Fourth Proportional to 12,182.20, 16,813.34 and 9,201.40

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Solution

The fourth proportional to 12,182.20, 16,813.34 and 9,201.40 is: 12,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.20 : 16,813.34 = 9,201.40 : x
  2. Step 2: Convert to fraction form
    12,182.20/16,813.34 = 9,201.40/x
  3. Step 3: Cross multiply
    12,182.20x = 16,813.34 × 9,201.40
  4. Step 4: Simplify right side
    12,182.20x = 154,706,266.68
  5. Step 5: Solve for x
    x = 154,706,266.68/12,182.20
  6. Step 6: Final answer
    x = 12,699.37

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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.