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Finding the Fourth Proportional to 23,480.28, 32,403.68 and 13,408.80

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Solution

The fourth proportional to 23,480.28, 32,403.68 and 13,408.80 is: 18,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480.28 : 32,403.68 = 13,408.80 : x
  2. Step 2: Convert to fraction form
    23,480.28/32,403.68 = 13,408.80/x
  3. Step 3: Cross multiply
    23,480.28x = 32,403.68 × 13,408.80
  4. Step 4: Simplify right side
    23,480.28x = 434,494,464.38
  5. Step 5: Solve for x
    x = 434,494,464.38/23,480.28
  6. Step 6: Final answer
    x = 18,504.65

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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.