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Finding the Fourth Proportional to 13,806.69, 20,695.68 and 6,405.03

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Solution

The fourth proportional to 13,806.69, 20,695.68 and 6,405.03 is: 9,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.69 : 20,695.68 = 6,405.03 : x
  2. Step 2: Convert to fraction form
    13,806.69/20,695.68 = 6,405.03/x
  3. Step 3: Cross multiply
    13,806.69x = 20,695.68 × 6,405.03
  4. Step 4: Simplify right side
    13,806.69x = 132,556,451.27
  5. Step 5: Solve for x
    x = 132,556,451.27/13,806.69
  6. Step 6: Final answer
    x = 9,600.89

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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.