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Finding the Fourth Proportional to 12,300.87, 16,975.94 and 9,311.97

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Solution

The fourth proportional to 12,300.87, 16,975.94 and 9,311.97 is: 12,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.87 : 16,975.94 = 9,311.97 : x
  2. Step 2: Convert to fraction form
    12,300.87/16,975.94 = 9,311.97/x
  3. Step 3: Cross multiply
    12,300.87x = 16,975.94 × 9,311.97
  4. Step 4: Simplify right side
    12,300.87x = 158,079,397.44
  5. Step 5: Solve for x
    x = 158,079,397.44/12,300.87
  6. Step 6: Final answer
    x = 12,851.07

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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.