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Finding the Fourth Proportional to 14,793.92, 20,415.44 and 8,506.32

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Solution

The fourth proportional to 14,793.92, 20,415.44 and 8,506.32 is: 11,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.92 : 20,415.44 = 8,506.32 : x
  2. Step 2: Convert to fraction form
    14,793.92/20,415.44 = 8,506.32/x
  3. Step 3: Cross multiply
    14,793.92x = 20,415.44 × 8,506.32
  4. Step 4: Simplify right side
    14,793.92x = 173,660,265.58
  5. Step 5: Solve for x
    x = 173,660,265.58/14,793.92
  6. Step 6: Final answer
    x = 11,738.62

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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.