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Finding the Fourth Proportional to 13,885.89, 20,829.24 and 4,525.80

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Solution

The fourth proportional to 13,885.89, 20,829.24 and 4,525.80 is: 6,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.89 : 20,829.24 = 4,525.80 : x
  2. Step 2: Convert to fraction form
    13,885.89/20,829.24 = 4,525.80/x
  3. Step 3: Cross multiply
    13,885.89x = 20,829.24 × 4,525.80
  4. Step 4: Simplify right side
    13,885.89x = 94,268,974.39
  5. Step 5: Solve for x
    x = 94,268,974.39/13,885.89
  6. Step 6: Final answer
    x = 6,788.83

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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.