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Finding the Fourth Proportional to 40,474.72, 60,714.96 and 12,772

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Solution

The fourth proportional to 40,474.72, 60,714.96 and 12,772 is: 19,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,474.72 : 60,714.96 = 12,772 : x
  2. Step 2: Convert to fraction form
    40,474.72/60,714.96 = 12,772/x
  3. Step 3: Cross multiply
    40,474.72x = 60,714.96 × 12,772
  4. Step 4: Simplify right side
    40,474.72x = 775,451,469.12
  5. Step 5: Solve for x
    x = 775,451,469.12/40,474.72
  6. Step 6: Final answer
    x = 19,158.91

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Why These Related Problems?

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