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Finding the Fourth Proportional to 12,984.70, 19,478.97 and 5,193.34

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Solution

The fourth proportional to 12,984.70, 19,478.97 and 5,193.34 is: 7,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.70 : 19,478.97 = 5,193.34 : x
  2. Step 2: Convert to fraction form
    12,984.70/19,478.97 = 5,193.34/x
  3. Step 3: Cross multiply
    12,984.70x = 19,478.97 × 5,193.34
  4. Step 4: Simplify right side
    12,984.70x = 101,160,914.06
  5. Step 5: Solve for x
    x = 101,160,914.06/12,984.70
  6. Step 6: Final answer
    x = 7,790.78

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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.