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Finding the Fourth Proportional to 16,146, 24,211.44 and 5,755.32

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Solution

The fourth proportional to 16,146, 24,211.44 and 5,755.32 is: 8,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146 : 24,211.44 = 5,755.32 : x
  2. Step 2: Convert to fraction form
    16,146/24,211.44 = 5,755.32/x
  3. Step 3: Cross multiply
    16,146x = 24,211.44 × 5,755.32
  4. Step 4: Simplify right side
    16,146x = 139,344,584.86
  5. Step 5: Solve for x
    x = 139,344,584.86/16,146
  6. Step 6: Final answer
    x = 8,630.29

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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.