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Finding the Fourth Proportional to 11,207.40, 16,786.80 and 9,976.20

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Solution

The fourth proportional to 11,207.40, 16,786.80 and 9,976.20 is: 14,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.40 : 16,786.80 = 9,976.20 : x
  2. Step 2: Convert to fraction form
    11,207.40/16,786.80 = 9,976.20/x
  3. Step 3: Cross multiply
    11,207.40x = 16,786.80 × 9,976.20
  4. Step 4: Simplify right side
    11,207.40x = 167,468,474.16
  5. Step 5: Solve for x
    x = 167,468,474.16/11,207.40
  6. Step 6: Final answer
    x = 14,942.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.