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Finding the Fourth Proportional to 16,546, 24,819.18 and 4,234

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Solution

The fourth proportional to 16,546, 24,819.18 and 4,234 is: 6,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546 : 24,819.18 = 4,234 : x
  2. Step 2: Convert to fraction form
    16,546/24,819.18 = 4,234/x
  3. Step 3: Cross multiply
    16,546x = 24,819.18 × 4,234
  4. Step 4: Simplify right side
    16,546x = 105,084,408.12
  5. Step 5: Solve for x
    x = 105,084,408.12/16,546
  6. Step 6: Final answer
    x = 6,351.05

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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.