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Finding the Fourth Proportional to 13,806.90, 20,717.14 and 5,486.69

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Solution

The fourth proportional to 13,806.90, 20,717.14 and 5,486.69 is: 8,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.90 : 20,717.14 = 5,486.69 : x
  2. Step 2: Convert to fraction form
    13,806.90/20,717.14 = 5,486.69/x
  3. Step 3: Cross multiply
    13,806.90x = 20,717.14 × 5,486.69
  4. Step 4: Simplify right side
    13,806.90x = 113,668,407.56
  5. Step 5: Solve for x
    x = 113,668,407.56/13,806.90
  6. Step 6: Final answer
    x = 8,232.72

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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.