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Finding the Fourth Proportional to 13,219.26, 19,811.26 and 6,977.80

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Solution

The fourth proportional to 13,219.26, 19,811.26 and 6,977.80 is: 10,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.26 : 19,811.26 = 6,977.80 : x
  2. Step 2: Convert to fraction form
    13,219.26/19,811.26 = 6,977.80/x
  3. Step 3: Cross multiply
    13,219.26x = 19,811.26 × 6,977.80
  4. Step 4: Simplify right side
    13,219.26x = 138,239,010.03
  5. Step 5: Solve for x
    x = 138,239,010.03/13,219.26
  6. Step 6: Final answer
    x = 10,457.39

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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.