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Finding the Fourth Proportional to 23,992, 35,993.76 and 7,576

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Solution

The fourth proportional to 23,992, 35,993.76 and 7,576 is: 11,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992 : 35,993.76 = 7,576 : x
  2. Step 2: Convert to fraction form
    23,992/35,993.76 = 7,576/x
  3. Step 3: Cross multiply
    23,992x = 35,993.76 × 7,576
  4. Step 4: Simplify right side
    23,992x = 272,688,725.76
  5. Step 5: Solve for x
    x = 272,688,725.76/23,992
  6. Step 6: Final answer
    x = 11,365.82

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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.