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Finding the Fourth Proportional to 25,192.42, 37,805.62 and 10,401

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Solution

The fourth proportional to 25,192.42, 37,805.62 and 10,401 is: 15,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,192.42 : 37,805.62 = 10,401 : x
  2. Step 2: Convert to fraction form
    25,192.42/37,805.62 = 10,401/x
  3. Step 3: Cross multiply
    25,192.42x = 37,805.62 × 10,401
  4. Step 4: Simplify right side
    25,192.42x = 393,216,253.62
  5. Step 5: Solve for x
    x = 393,216,253.62/25,192.42
  6. Step 6: Final answer
    x = 15,608.51

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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.