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Finding the Fourth Proportional to 12,194, 16,826.37 and 6,887.69

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Solution

The fourth proportional to 12,194, 16,826.37 and 6,887.69 is: 9,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194 : 16,826.37 = 6,887.69 : x
  2. Step 2: Convert to fraction form
    12,194/16,826.37 = 6,887.69/x
  3. Step 3: Cross multiply
    12,194x = 16,826.37 × 6,887.69
  4. Step 4: Simplify right side
    12,194x = 115,894,820.39
  5. Step 5: Solve for x
    x = 115,894,820.39/12,194
  6. Step 6: Final answer
    x = 9,504.25

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