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Finding the Fourth Proportional to 16,125.94, 24,189 and 5,738.50

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Solution

The fourth proportional to 16,125.94, 24,189 and 5,738.50 is: 8,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.94 : 24,189 = 5,738.50 : x
  2. Step 2: Convert to fraction form
    16,125.94/24,189 = 5,738.50/x
  3. Step 3: Cross multiply
    16,125.94x = 24,189 × 5,738.50
  4. Step 4: Simplify right side
    16,125.94x = 138,808,576.50
  5. Step 5: Solve for x
    x = 138,808,576.50/16,125.94
  6. Step 6: Final answer
    x = 8,607.78

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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.