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Finding the Fourth Proportional to 15,986, 23,982.24 and 6,752

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Solution

The fourth proportional to 15,986, 23,982.24 and 6,752 is: 10,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 23,982.24 = 6,752 : x
  2. Step 2: Convert to fraction form
    15,986/23,982.24 = 6,752/x
  3. Step 3: Cross multiply
    15,986x = 23,982.24 × 6,752
  4. Step 4: Simplify right side
    15,986x = 161,928,084.48
  5. Step 5: Solve for x
    x = 161,928,084.48/15,986
  6. Step 6: Final answer
    x = 10,129.37

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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.