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Finding the Fourth Proportional to 12,950.99, 17,794.92 and 10,293.78

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Solution

The fourth proportional to 12,950.99, 17,794.92 and 10,293.78 is: 14,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.99 : 17,794.92 = 10,293.78 : x
  2. Step 2: Convert to fraction form
    12,950.99/17,794.92 = 10,293.78/x
  3. Step 3: Cross multiply
    12,950.99x = 17,794.92 × 10,293.78
  4. Step 4: Simplify right side
    12,950.99x = 183,177,010.08
  5. Step 5: Solve for x
    x = 183,177,010.08/12,950.99
  6. Step 6: Final answer
    x = 14,143.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.