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Finding the Fourth Proportional to 16,283.56, 24,423.96 and 5,189.80

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Solution

The fourth proportional to 16,283.56, 24,423.96 and 5,189.80 is: 7,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.56 : 24,423.96 = 5,189.80 : x
  2. Step 2: Convert to fraction form
    16,283.56/24,423.96 = 5,189.80/x
  3. Step 3: Cross multiply
    16,283.56x = 24,423.96 × 5,189.80
  4. Step 4: Simplify right side
    16,283.56x = 126,755,467.61
  5. Step 5: Solve for x
    x = 126,755,467.61/16,283.56
  6. Step 6: Final answer
    x = 7,784.26

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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.