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Finding the Fourth Proportional to 12,207.85, 16,840.74 and 8,222.04

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Solution

The fourth proportional to 12,207.85, 16,840.74 and 8,222.04 is: 11,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.85 : 16,840.74 = 8,222.04 : x
  2. Step 2: Convert to fraction form
    12,207.85/16,840.74 = 8,222.04/x
  3. Step 3: Cross multiply
    12,207.85x = 16,840.74 × 8,222.04
  4. Step 4: Simplify right side
    12,207.85x = 138,465,268.74
  5. Step 5: Solve for x
    x = 138,465,268.74/12,207.85
  6. Step 6: Final answer
    x = 11,342.32

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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.