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Finding the Fourth Proportional to 29,714.42, 41,004.12 and 16,283

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Solution

The fourth proportional to 29,714.42, 41,004.12 and 16,283 is: 22,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.42 : 41,004.12 = 16,283 : x
  2. Step 2: Convert to fraction form
    29,714.42/41,004.12 = 16,283/x
  3. Step 3: Cross multiply
    29,714.42x = 41,004.12 × 16,283
  4. Step 4: Simplify right side
    29,714.42x = 667,670,085.96
  5. Step 5: Solve for x
    x = 667,670,085.96/29,714.42
  6. Step 6: Final answer
    x = 22,469.56

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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.