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Finding the Fourth Proportional to 24,446, 33,735.48 and 13,268

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Solution

The fourth proportional to 24,446, 33,735.48 and 13,268 is: 18,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446 : 33,735.48 = 13,268 : x
  2. Step 2: Convert to fraction form
    24,446/33,735.48 = 13,268/x
  3. Step 3: Cross multiply
    24,446x = 33,735.48 × 13,268
  4. Step 4: Simplify right side
    24,446x = 447,602,348.64
  5. Step 5: Solve for x
    x = 447,602,348.64/24,446
  6. Step 6: Final answer
    x = 18,309.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.