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Finding the Fourth Proportional to 16,461.18, 24,692.57 and 5,367.86

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Solution

The fourth proportional to 16,461.18, 24,692.57 and 5,367.86 is: 8,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.18 : 24,692.57 = 5,367.86 : x
  2. Step 2: Convert to fraction form
    16,461.18/24,692.57 = 5,367.86/x
  3. Step 3: Cross multiply
    16,461.18x = 24,692.57 × 5,367.86
  4. Step 4: Simplify right side
    16,461.18x = 132,546,108.50
  5. Step 5: Solve for x
    x = 132,546,108.50/16,461.18
  6. Step 6: Final answer
    x = 8,052.04

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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.