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Finding the Fourth Proportional to 13,454.66, 20,181.65 and 6,439.65

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Solution

The fourth proportional to 13,454.66, 20,181.65 and 6,439.65 is: 9,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.66 : 20,181.65 = 6,439.65 : x
  2. Step 2: Convert to fraction form
    13,454.66/20,181.65 = 6,439.65/x
  3. Step 3: Cross multiply
    13,454.66x = 20,181.65 × 6,439.65
  4. Step 4: Simplify right side
    13,454.66x = 129,962,730.22
  5. Step 5: Solve for x
    x = 129,962,730.22/13,454.66
  6. Step 6: Final answer
    x = 9,659.31

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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.