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Finding the Fourth Proportional to 13,611.80, 20,420.58 and 6,214.20

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Solution

The fourth proportional to 13,611.80, 20,420.58 and 6,214.20 is: 9,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.80 : 20,420.58 = 6,214.20 : x
  2. Step 2: Convert to fraction form
    13,611.80/20,420.58 = 6,214.20/x
  3. Step 3: Cross multiply
    13,611.80x = 20,420.58 × 6,214.20
  4. Step 4: Simplify right side
    13,611.80x = 126,897,568.24
  5. Step 5: Solve for x
    x = 126,897,568.24/13,611.80
  6. Step 6: Final answer
    x = 9,322.61

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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.