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Finding the Fourth Proportional to 13,862.12, 20,800.38 and 10,596.20

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Solution

The fourth proportional to 13,862.12, 20,800.38 and 10,596.20 is: 15,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.12 : 20,800.38 = 10,596.20 : x
  2. Step 2: Convert to fraction form
    13,862.12/20,800.38 = 10,596.20/x
  3. Step 3: Cross multiply
    13,862.12x = 20,800.38 × 10,596.20
  4. Step 4: Simplify right side
    13,862.12x = 220,404,986.56
  5. Step 5: Solve for x
    x = 220,404,986.56/13,862.12
  6. Step 6: Final answer
    x = 15,899.80

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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.