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Finding the Fourth Proportional to 13,832.71, 20,763.48 and 12,261.41

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Solution

The fourth proportional to 13,832.71, 20,763.48 and 12,261.41 is: 18,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.71 : 20,763.48 = 12,261.41 : x
  2. Step 2: Convert to fraction form
    13,832.71/20,763.48 = 12,261.41/x
  3. Step 3: Cross multiply
    13,832.71x = 20,763.48 × 12,261.41
  4. Step 4: Simplify right side
    13,832.71x = 254,589,431.32
  5. Step 5: Solve for x
    x = 254,589,431.32/13,832.71
  6. Step 6: Final answer
    x = 18,404.89

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1.5x scale

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.