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Finding the Fourth Proportional to 16,401, 24,605.67 and 4,714.23

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Solution

The fourth proportional to 16,401, 24,605.67 and 4,714.23 is: 7,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401 : 24,605.67 = 4,714.23 : x
  2. Step 2: Convert to fraction form
    16,401/24,605.67 = 4,714.23/x
  3. Step 3: Cross multiply
    16,401x = 24,605.67 × 4,714.23
  4. Step 4: Simplify right side
    16,401x = 115,996,787.68
  5. Step 5: Solve for x
    x = 115,996,787.68/16,401
  6. Step 6: Final answer
    x = 7,072.54

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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.