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Finding the Fourth Proportional to 23,474, 32,394.12 and 12,864.04

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Solution

The fourth proportional to 23,474, 32,394.12 and 12,864.04 is: 17,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474 : 32,394.12 = 12,864.04 : x
  2. Step 2: Convert to fraction form
    23,474/32,394.12 = 12,864.04/x
  3. Step 3: Cross multiply
    23,474x = 32,394.12 × 12,864.04
  4. Step 4: Simplify right side
    23,474x = 416,719,255.44
  5. Step 5: Solve for x
    x = 416,719,255.44/23,474
  6. Step 6: Final answer
    x = 17,752.38

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1.5x scale

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.