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Finding the Fourth Proportional to 24,199.80, 33,408.96 and 14,641.32

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Solution

The fourth proportional to 24,199.80, 33,408.96 and 14,641.32 is: 20,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.80 : 33,408.96 = 14,641.32 : x
  2. Step 2: Convert to fraction form
    24,199.80/33,408.96 = 14,641.32/x
  3. Step 3: Cross multiply
    24,199.80x = 33,408.96 × 14,641.32
  4. Step 4: Simplify right side
    24,199.80x = 489,151,274.23
  5. Step 5: Solve for x
    x = 489,151,274.23/24,199.80
  6. Step 6: Final answer
    x = 20,213.03

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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.