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Finding the Fourth Proportional to 12,283.13, 16,950.72 and 6,694.13

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Solution

The fourth proportional to 12,283.13, 16,950.72 and 6,694.13 is: 9,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.13 : 16,950.72 = 6,694.13 : x
  2. Step 2: Convert to fraction form
    12,283.13/16,950.72 = 6,694.13/x
  3. Step 3: Cross multiply
    12,283.13x = 16,950.72 × 6,694.13
  4. Step 4: Simplify right side
    12,283.13x = 113,470,238.52
  5. Step 5: Solve for x
    x = 113,470,238.52/12,283.13
  6. Step 6: Final answer
    x = 9,237.90

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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.