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Finding the Fourth Proportional to 33,144.12, 49,714.56 and 12,366

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Solution

The fourth proportional to 33,144.12, 49,714.56 and 12,366 is: 18,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144.12 : 49,714.56 = 12,366 : x
  2. Step 2: Convert to fraction form
    33,144.12/49,714.56 = 12,366/x
  3. Step 3: Cross multiply
    33,144.12x = 49,714.56 × 12,366
  4. Step 4: Simplify right side
    33,144.12x = 614,770,248.96
  5. Step 5: Solve for x
    x = 614,770,248.96/33,144.12
  6. Step 6: Final answer
    x = 18,548.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.