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Finding the Fourth Proportional to 13,405.14, 20,107.84 and 4,045.23

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Solution

The fourth proportional to 13,405.14, 20,107.84 and 4,045.23 is: 6,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.14 : 20,107.84 = 4,045.23 : x
  2. Step 2: Convert to fraction form
    13,405.14/20,107.84 = 4,045.23/x
  3. Step 3: Cross multiply
    13,405.14x = 20,107.84 × 4,045.23
  4. Step 4: Simplify right side
    13,405.14x = 81,340,837.60
  5. Step 5: Solve for x
    x = 81,340,837.60/13,405.14
  6. Step 6: Final answer
    x = 6,067.88

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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.