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Finding the Fourth Proportional to 16,213.19, 24,319.78 and 12,520.80

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Solution

The fourth proportional to 16,213.19, 24,319.78 and 12,520.80 is: 18,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.19 : 24,319.78 = 12,520.80 : x
  2. Step 2: Convert to fraction form
    16,213.19/24,319.78 = 12,520.80/x
  3. Step 3: Cross multiply
    16,213.19x = 24,319.78 × 12,520.80
  4. Step 4: Simplify right side
    16,213.19x = 304,503,101.42
  5. Step 5: Solve for x
    x = 304,503,101.42/16,213.19
  6. Step 6: Final answer
    x = 18,781.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.