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Finding the Fourth Proportional to 16,193.84, 24,292.50 and 5,100.86

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Solution

The fourth proportional to 16,193.84, 24,292.50 and 5,100.86 is: 7,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.84 : 24,292.50 = 5,100.86 : x
  2. Step 2: Convert to fraction form
    16,193.84/24,292.50 = 5,100.86/x
  3. Step 3: Cross multiply
    16,193.84x = 24,292.50 × 5,100.86
  4. Step 4: Simplify right side
    16,193.84x = 123,912,641.55
  5. Step 5: Solve for x
    x = 123,912,641.55/16,193.84
  6. Step 6: Final answer
    x = 7,651.84

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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.