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Finding the Fourth Proportional to 14,524.43, 20,042.06 and 8,150.15

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Solution

The fourth proportional to 14,524.43, 20,042.06 and 8,150.15 is: 11,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.43 : 20,042.06 = 8,150.15 : x
  2. Step 2: Convert to fraction form
    14,524.43/20,042.06 = 8,150.15/x
  3. Step 3: Cross multiply
    14,524.43x = 20,042.06 × 8,150.15
  4. Step 4: Simplify right side
    14,524.43x = 163,345,654.35
  5. Step 5: Solve for x
    x = 163,345,654.35/14,524.43
  6. Step 6: Final answer
    x = 11,246.27

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1.5x scale

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.