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Finding the Fourth Proportional to 12,592, 18,882.96 and 3,825.28

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Solution

The fourth proportional to 12,592, 18,882.96 and 3,825.28 is: 5,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592 : 18,882.96 = 3,825.28 : x
  2. Step 2: Convert to fraction form
    12,592/18,882.96 = 3,825.28/x
  3. Step 3: Cross multiply
    12,592x = 18,882.96 × 3,825.28
  4. Step 4: Simplify right side
    12,592x = 72,232,609.23
  5. Step 5: Solve for x
    x = 72,232,609.23/12,592
  6. Step 6: Final answer
    x = 5,736.39

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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.