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Finding the Fourth Proportional to 16,124, 24,188.07 and 5,735.84

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Solution

The fourth proportional to 16,124, 24,188.07 and 5,735.84 is: 8,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124 : 24,188.07 = 5,735.84 : x
  2. Step 2: Convert to fraction form
    16,124/24,188.07 = 5,735.84/x
  3. Step 3: Cross multiply
    16,124x = 24,188.07 × 5,735.84
  4. Step 4: Simplify right side
    16,124x = 138,738,899.43
  5. Step 5: Solve for x
    x = 138,738,899.43/16,124
  6. Step 6: Final answer
    x = 8,604.50

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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.