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Finding the Fourth Proportional to 23,274, 32,120.28 and 13,338

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Solution

The fourth proportional to 23,274, 32,120.28 and 13,338 is: 18,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274 : 32,120.28 = 13,338 : x
  2. Step 2: Convert to fraction form
    23,274/32,120.28 = 13,338/x
  3. Step 3: Cross multiply
    23,274x = 32,120.28 × 13,338
  4. Step 4: Simplify right side
    23,274x = 428,420,294.64
  5. Step 5: Solve for x
    x = 428,420,294.64/23,274
  6. Step 6: Final answer
    x = 18,407.68

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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.