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Finding the Fourth Proportional to 13,219.20, 19,828.80 and 11,080.80

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Solution

The fourth proportional to 13,219.20, 19,828.80 and 11,080.80 is: 16,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.20 : 19,828.80 = 11,080.80 : x
  2. Step 2: Convert to fraction form
    13,219.20/19,828.80 = 11,080.80/x
  3. Step 3: Cross multiply
    13,219.20x = 19,828.80 × 11,080.80
  4. Step 4: Simplify right side
    13,219.20x = 219,718,967.04
  5. Step 5: Solve for x
    x = 219,718,967.04/13,219.20
  6. Step 6: Final answer
    x = 16,621.20

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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.