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Finding the Fourth Proportional to 22,515, 33,749.46 and 9,375

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Solution

The fourth proportional to 22,515, 33,749.46 and 9,375 is: 14,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515 : 33,749.46 = 9,375 : x
  2. Step 2: Convert to fraction form
    22,515/33,749.46 = 9,375/x
  3. Step 3: Cross multiply
    22,515x = 33,749.46 × 9,375
  4. Step 4: Simplify right side
    22,515x = 316,401,187.50
  5. Step 5: Solve for x
    x = 316,401,187.50/22,515
  6. Step 6: Final answer
    x = 14,052.91

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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.