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Finding the Fourth Proportional to 12,195.92, 16,830.70 and 6,890.62

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Solution

The fourth proportional to 12,195.92, 16,830.70 and 6,890.62 is: 9,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.92 : 16,830.70 = 6,890.62 : x
  2. Step 2: Convert to fraction form
    12,195.92/16,830.70 = 6,890.62/x
  3. Step 3: Cross multiply
    12,195.92x = 16,830.70 × 6,890.62
  4. Step 4: Simplify right side
    12,195.92x = 115,973,958.03
  5. Step 5: Solve for x
    x = 115,973,958.03/12,195.92
  6. Step 6: Final answer
    x = 9,509.24

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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.