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Finding the Fourth Proportional to 14,523.68, 20,038.11 and 8,234.84

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Solution

The fourth proportional to 14,523.68, 20,038.11 and 8,234.84 is: 11,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.68 : 20,038.11 = 8,234.84 : x
  2. Step 2: Convert to fraction form
    14,523.68/20,038.11 = 8,234.84/x
  3. Step 3: Cross multiply
    14,523.68x = 20,038.11 × 8,234.84
  4. Step 4: Simplify right side
    14,523.68x = 165,010,629.75
  5. Step 5: Solve for x
    x = 165,010,629.75/14,523.68
  6. Step 6: Final answer
    x = 11,361.49

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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.