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Finding the Fourth Proportional to 13,682, 20,525.19 and 5,784.60

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Solution

The fourth proportional to 13,682, 20,525.19 and 5,784.60 is: 8,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682 : 20,525.19 = 5,784.60 : x
  2. Step 2: Convert to fraction form
    13,682/20,525.19 = 5,784.60/x
  3. Step 3: Cross multiply
    13,682x = 20,525.19 × 5,784.60
  4. Step 4: Simplify right side
    13,682x = 118,730,014.07
  5. Step 5: Solve for x
    x = 118,730,014.07/13,682
  6. Step 6: Final answer
    x = 8,677.83

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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.