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Finding the Fourth Proportional to 16,289.10, 24,435 and 5,197.37

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Solution

The fourth proportional to 16,289.10, 24,435 and 5,197.37 is: 7,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.10 : 24,435 = 5,197.37 : x
  2. Step 2: Convert to fraction form
    16,289.10/24,435 = 5,197.37/x
  3. Step 3: Cross multiply
    16,289.10x = 24,435 × 5,197.37
  4. Step 4: Simplify right side
    16,289.10x = 126,997,613.78
  5. Step 5: Solve for x
    x = 126,997,613.78/16,289.10
  6. Step 6: Final answer
    x = 7,796.48

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Why These Related Problems?

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