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Finding the Fourth Proportional to 23,883, 35,837.64 and 11,571

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Solution

The fourth proportional to 23,883, 35,837.64 and 11,571 is: 17,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883 : 35,837.64 = 11,571 : x
  2. Step 2: Convert to fraction form
    23,883/35,837.64 = 11,571/x
  3. Step 3: Cross multiply
    23,883x = 35,837.64 × 11,571
  4. Step 4: Simplify right side
    23,883x = 414,677,332.44
  5. Step 5: Solve for x
    x = 414,677,332.44/23,883
  6. Step 6: Final answer
    x = 17,362.87

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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.