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Finding the Fourth Proportional to 22,337, 30,825.06 and 12,401

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Solution

The fourth proportional to 22,337, 30,825.06 and 12,401 is: 17,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337 : 30,825.06 = 12,401 : x
  2. Step 2: Convert to fraction form
    22,337/30,825.06 = 12,401/x
  3. Step 3: Cross multiply
    22,337x = 30,825.06 × 12,401
  4. Step 4: Simplify right side
    22,337x = 382,261,569.06
  5. Step 5: Solve for x
    x = 382,261,569.06/22,337
  6. Step 6: Final answer
    x = 17,113.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.