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Finding the Fourth Proportional to 12,617.44, 18,925.76 and 3,852

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Solution

The fourth proportional to 12,617.44, 18,925.76 and 3,852 is: 5,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.44 : 18,925.76 = 3,852 : x
  2. Step 2: Convert to fraction form
    12,617.44/18,925.76 = 3,852/x
  3. Step 3: Cross multiply
    12,617.44x = 18,925.76 × 3,852
  4. Step 4: Simplify right side
    12,617.44x = 72,902,027.52
  5. Step 5: Solve for x
    x = 72,902,027.52/12,617.44
  6. Step 6: Final answer
    x = 5,777.88

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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.