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Finding the Fourth Proportional to 16,271.69, 24,407.10 and 5,179.05

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Solution

The fourth proportional to 16,271.69, 24,407.10 and 5,179.05 is: 7,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.69 : 24,407.10 = 5,179.05 : x
  2. Step 2: Convert to fraction form
    16,271.69/24,407.10 = 5,179.05/x
  3. Step 3: Cross multiply
    16,271.69x = 24,407.10 × 5,179.05
  4. Step 4: Simplify right side
    16,271.69x = 126,405,591.26
  5. Step 5: Solve for x
    x = 126,405,591.26/16,271.69
  6. Step 6: Final answer
    x = 7,768.44

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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.