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Finding the Fourth Proportional to 24,144.96, 33,331.68 and 15,196.80

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Solution

The fourth proportional to 24,144.96, 33,331.68 and 15,196.80 is: 20,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.96 : 33,331.68 = 15,196.80 : x
  2. Step 2: Convert to fraction form
    24,144.96/33,331.68 = 15,196.80/x
  3. Step 3: Cross multiply
    24,144.96x = 33,331.68 × 15,196.80
  4. Step 4: Simplify right side
    24,144.96x = 506,534,874.62
  5. Step 5: Solve for x
    x = 506,534,874.62/24,144.96
  6. Step 6: Final answer
    x = 20,978.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.