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Finding the Fourth Proportional to 13,080.30, 18,053.41 and 7,774.09

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Solution

The fourth proportional to 13,080.30, 18,053.41 and 7,774.09 is: 10,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080.30 : 18,053.41 = 7,774.09 : x
  2. Step 2: Convert to fraction form
    13,080.30/18,053.41 = 7,774.09/x
  3. Step 3: Cross multiply
    13,080.30x = 18,053.41 × 7,774.09
  4. Step 4: Simplify right side
    13,080.30x = 140,348,834.15
  5. Step 5: Solve for x
    x = 140,348,834.15/13,080.30
  6. Step 6: Final answer
    x = 10,729.79

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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.