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Finding the Fourth Proportional to 17,401, 26,102.46 and 5,089.96

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Solution

The fourth proportional to 17,401, 26,102.46 and 5,089.96 is: 7,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401 : 26,102.46 = 5,089.96 : x
  2. Step 2: Convert to fraction form
    17,401/26,102.46 = 5,089.96/x
  3. Step 3: Cross multiply
    17,401x = 26,102.46 × 5,089.96
  4. Step 4: Simplify right side
    17,401x = 132,860,477.30
  5. Step 5: Solve for x
    x = 132,860,477.30/17,401
  6. Step 6: Final answer
    x = 7,635.22

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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.