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Finding the Fourth Proportional to 20,643.64, 30,954.52 and 8,155.86

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Solution

The fourth proportional to 20,643.64, 30,954.52 and 8,155.86 is: 12,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.64 : 30,954.52 = 8,155.86 : x
  2. Step 2: Convert to fraction form
    20,643.64/30,954.52 = 8,155.86/x
  3. Step 3: Cross multiply
    20,643.64x = 30,954.52 × 8,155.86
  4. Step 4: Simplify right side
    20,643.64x = 252,460,731.49
  5. Step 5: Solve for x
    x = 252,460,731.49/20,643.64
  6. Step 6: Final answer
    x = 12,229.47

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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.