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Finding the Fourth Proportional to 12,286.04, 16,954.72 and 6,980.85

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Solution

The fourth proportional to 12,286.04, 16,954.72 and 6,980.85 is: 9,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.04 : 16,954.72 = 6,980.85 : x
  2. Step 2: Convert to fraction form
    12,286.04/16,954.72 = 6,980.85/x
  3. Step 3: Cross multiply
    12,286.04x = 16,954.72 × 6,980.85
  4. Step 4: Simplify right side
    12,286.04x = 118,358,339.66
  5. Step 5: Solve for x
    x = 118,358,339.66/12,286.04
  6. Step 6: Final answer
    x = 9,633.57

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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.