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Finding the Fourth Proportional to 24,291.96, 33,522.30 and 13,680.96

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Solution

The fourth proportional to 24,291.96, 33,522.30 and 13,680.96 is: 18,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.96 : 33,522.30 = 13,680.96 : x
  2. Step 2: Convert to fraction form
    24,291.96/33,522.30 = 13,680.96/x
  3. Step 3: Cross multiply
    24,291.96x = 33,522.30 × 13,680.96
  4. Step 4: Simplify right side
    24,291.96x = 458,617,245.41
  5. Step 5: Solve for x
    x = 458,617,245.41/24,291.96
  6. Step 6: Final answer
    x = 18,879.38

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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.