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Finding the Fourth Proportional to 14,523.86, 20,043 and 8,236.28

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Solution

The fourth proportional to 14,523.86, 20,043 and 8,236.28 is: 11,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.86 : 20,043 = 8,236.28 : x
  2. Step 2: Convert to fraction form
    14,523.86/20,043 = 8,236.28/x
  3. Step 3: Cross multiply
    14,523.86x = 20,043 × 8,236.28
  4. Step 4: Simplify right side
    14,523.86x = 165,079,760.04
  5. Step 5: Solve for x
    x = 165,079,760.04/14,523.86
  6. Step 6: Final answer
    x = 11,366.11

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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.