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Finding the Fourth Proportional to 15,936, 23,907.84 and 4,992

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Solution

The fourth proportional to 15,936, 23,907.84 and 4,992 is: 7,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936 : 23,907.84 = 4,992 : x
  2. Step 2: Convert to fraction form
    15,936/23,907.84 = 4,992/x
  3. Step 3: Cross multiply
    15,936x = 23,907.84 × 4,992
  4. Step 4: Simplify right side
    15,936x = 119,347,937.28
  5. Step 5: Solve for x
    x = 119,347,937.28/15,936
  6. Step 6: Final answer
    x = 7,489.20

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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.