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Finding the Fourth Proportional to 23,970, 33,080.04 and 13,214.85

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Solution

The fourth proportional to 23,970, 33,080.04 and 13,214.85 is: 18,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970 : 33,080.04 = 13,214.85 : x
  2. Step 2: Convert to fraction form
    23,970/33,080.04 = 13,214.85/x
  3. Step 3: Cross multiply
    23,970x = 33,080.04 × 13,214.85
  4. Step 4: Simplify right side
    23,970x = 437,147,766.59
  5. Step 5: Solve for x
    x = 437,147,766.59/23,970
  6. Step 6: Final answer
    x = 18,237.29

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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.