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Finding the Fourth Proportional to 16,169.57, 24,254.23 and 4,161.69

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Solution

The fourth proportional to 16,169.57, 24,254.23 and 4,161.69 is: 6,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.57 : 24,254.23 = 4,161.69 : x
  2. Step 2: Convert to fraction form
    16,169.57/24,254.23 = 4,161.69/x
  3. Step 3: Cross multiply
    16,169.57x = 24,254.23 × 4,161.69
  4. Step 4: Simplify right side
    16,169.57x = 100,938,586.45
  5. Step 5: Solve for x
    x = 100,938,586.45/16,169.57
  6. Step 6: Final answer
    x = 6,242.50

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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.