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Finding the Fourth Proportional to 23,978.68, 35,943.70 and 11,480.38

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Solution

The fourth proportional to 23,978.68, 35,943.70 and 11,480.38 is: 17,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.68 : 35,943.70 = 11,480.38 : x
  2. Step 2: Convert to fraction form
    23,978.68/35,943.70 = 11,480.38/x
  3. Step 3: Cross multiply
    23,978.68x = 35,943.70 × 11,480.38
  4. Step 4: Simplify right side
    23,978.68x = 412,647,334.61
  5. Step 5: Solve for x
    x = 412,647,334.61/23,978.68
  6. Step 6: Final answer
    x = 17,208.93

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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.