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Finding the Fourth Proportional to 14,008.68, 20,975.90 and 8,454.60

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Solution

The fourth proportional to 14,008.68, 20,975.90 and 8,454.60 is: 12,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.68 : 20,975.90 = 8,454.60 : x
  2. Step 2: Convert to fraction form
    14,008.68/20,975.90 = 8,454.60/x
  3. Step 3: Cross multiply
    14,008.68x = 20,975.90 × 8,454.60
  4. Step 4: Simplify right side
    14,008.68x = 177,342,844.14
  5. Step 5: Solve for x
    x = 177,342,844.14/14,008.68
  6. Step 6: Final answer
    x = 12,659.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.