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Finding the Fourth Proportional to 12,601, 18,896.04 and 3,833.88

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Solution

The fourth proportional to 12,601, 18,896.04 and 3,833.88 is: 5,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,601 : 18,896.04 = 3,833.88 : x
  2. Step 2: Convert to fraction form
    12,601/18,896.04 = 3,833.88/x
  3. Step 3: Cross multiply
    12,601x = 18,896.04 × 3,833.88
  4. Step 4: Simplify right side
    12,601x = 72,445,149.84
  5. Step 5: Solve for x
    x = 72,445,149.84/12,601
  6. Step 6: Final answer
    x = 5,749.16

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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.