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Finding the Fourth Proportional to 13,080.96, 18,043.68 and 7,772.16

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Solution

The fourth proportional to 13,080.96, 18,043.68 and 7,772.16 is: 10,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080.96 : 18,043.68 = 7,772.16 : x
  2. Step 2: Convert to fraction form
    13,080.96/18,043.68 = 7,772.16/x
  3. Step 3: Cross multiply
    13,080.96x = 18,043.68 × 7,772.16
  4. Step 4: Simplify right side
    13,080.96x = 140,238,367.95
  5. Step 5: Solve for x
    x = 140,238,367.95/13,080.96
  6. Step 6: Final answer
    x = 10,720.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.