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Finding the Fourth Proportional to 12,231.80, 16,880.46 and 6,926.50

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Solution

The fourth proportional to 12,231.80, 16,880.46 and 6,926.50 is: 9,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.80 : 16,880.46 = 6,926.50 : x
  2. Step 2: Convert to fraction form
    12,231.80/16,880.46 = 6,926.50/x
  3. Step 3: Cross multiply
    12,231.80x = 16,880.46 × 6,926.50
  4. Step 4: Simplify right side
    12,231.80x = 116,922,506.19
  5. Step 5: Solve for x
    x = 116,922,506.19/12,231.80
  6. Step 6: Final answer
    x = 9,558.90

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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.