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Finding the Fourth Proportional to 12,733.39, 19,098.73 and 7,794.42

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Solution

The fourth proportional to 12,733.39, 19,098.73 and 7,794.42 is: 11,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.39 : 19,098.73 = 7,794.42 : x
  2. Step 2: Convert to fraction form
    12,733.39/19,098.73 = 7,794.42/x
  3. Step 3: Cross multiply
    12,733.39x = 19,098.73 × 7,794.42
  4. Step 4: Simplify right side
    12,733.39x = 148,863,523.09
  5. Step 5: Solve for x
    x = 148,863,523.09/12,733.39
  6. Step 6: Final answer
    x = 11,690.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.