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Finding the Fourth Proportional to 23,914, 35,883.96 and 11,602

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Solution

The fourth proportional to 23,914, 35,883.96 and 11,602 is: 17,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,914 : 35,883.96 = 11,602 : x
  2. Step 2: Convert to fraction form
    23,914/35,883.96 = 11,602/x
  3. Step 3: Cross multiply
    23,914x = 35,883.96 × 11,602
  4. Step 4: Simplify right side
    23,914x = 416,325,703.92
  5. Step 5: Solve for x
    x = 416,325,703.92/23,914
  6. Step 6: Final answer
    x = 17,409.29

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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.