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Finding the Fourth Proportional to 20,476.46, 30,709.14 and 8,786.94

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Solution

The fourth proportional to 20,476.46, 30,709.14 and 8,786.94 is: 13,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.46 : 30,709.14 = 8,786.94 : x
  2. Step 2: Convert to fraction form
    20,476.46/30,709.14 = 8,786.94/x
  3. Step 3: Cross multiply
    20,476.46x = 30,709.14 × 8,786.94
  4. Step 4: Simplify right side
    20,476.46x = 269,839,370.63
  5. Step 5: Solve for x
    x = 269,839,370.63/20,476.46
  6. Step 6: Final answer
    x = 13,178.03

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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.