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Finding the Fourth Proportional to 13,830.28, 20,758.86 and 13,081.08

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Solution

The fourth proportional to 13,830.28, 20,758.86 and 13,081.08 is: 19,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.28 : 20,758.86 = 13,081.08 : x
  2. Step 2: Convert to fraction form
    13,830.28/20,758.86 = 13,081.08/x
  3. Step 3: Cross multiply
    13,830.28x = 20,758.86 × 13,081.08
  4. Step 4: Simplify right side
    13,830.28x = 271,548,308.37
  5. Step 5: Solve for x
    x = 271,548,308.37/13,830.28
  6. Step 6: Final answer
    x = 19,634.33

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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.