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Finding the Fourth Proportional to 13,619.32, 20,410.08 and 6,205.66

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Solution

The fourth proportional to 13,619.32, 20,410.08 and 6,205.66 is: 9,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.32 : 20,410.08 = 6,205.66 : x
  2. Step 2: Convert to fraction form
    13,619.32/20,410.08 = 6,205.66/x
  3. Step 3: Cross multiply
    13,619.32x = 20,410.08 × 6,205.66
  4. Step 4: Simplify right side
    13,619.32x = 126,658,017.05
  5. Step 5: Solve for x
    x = 126,658,017.05/13,619.32
  6. Step 6: Final answer
    x = 9,299.88

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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.