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Finding the Fourth Proportional to 12,194.37, 16,830.41 and 7,892.76

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Solution

The fourth proportional to 12,194.37, 16,830.41 and 7,892.76 is: 10,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.37 : 16,830.41 = 7,892.76 : x
  2. Step 2: Convert to fraction form
    12,194.37/16,830.41 = 7,892.76/x
  3. Step 3: Cross multiply
    12,194.37x = 16,830.41 × 7,892.76
  4. Step 4: Simplify right side
    12,194.37x = 132,838,386.83
  5. Step 5: Solve for x
    x = 132,838,386.83/12,194.37
  6. Step 6: Final answer
    x = 10,893.42

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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.