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Finding the Fourth Proportional to 14,954.86, 20,638.38 and 8,989.30

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Solution

The fourth proportional to 14,954.86, 20,638.38 and 8,989.30 is: 12,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.86 : 20,638.38 = 8,989.30 : x
  2. Step 2: Convert to fraction form
    14,954.86/20,638.38 = 8,989.30/x
  3. Step 3: Cross multiply
    14,954.86x = 20,638.38 × 8,989.30
  4. Step 4: Simplify right side
    14,954.86x = 185,524,589.33
  5. Step 5: Solve for x
    x = 185,524,589.33/14,954.86
  6. Step 6: Final answer
    x = 12,405.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.