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Finding the Fourth Proportional to 13,790.49, 20,698.70 and 7,221.39

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Solution

The fourth proportional to 13,790.49, 20,698.70 and 7,221.39 is: 10,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.49 : 20,698.70 = 7,221.39 : x
  2. Step 2: Convert to fraction form
    13,790.49/20,698.70 = 7,221.39/x
  3. Step 3: Cross multiply
    13,790.49x = 20,698.70 × 7,221.39
  4. Step 4: Simplify right side
    13,790.49x = 149,473,467.33
  5. Step 5: Solve for x
    x = 149,473,467.33/13,790.49
  6. Step 6: Final answer
    x = 10,838.88

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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.