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Finding the Fourth Proportional to 12,406.72, 18,614.40 and 5,837.92

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Solution

The fourth proportional to 12,406.72, 18,614.40 and 5,837.92 is: 8,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.72 : 18,614.40 = 5,837.92 : x
  2. Step 2: Convert to fraction form
    12,406.72/18,614.40 = 5,837.92/x
  3. Step 3: Cross multiply
    12,406.72x = 18,614.40 × 5,837.92
  4. Step 4: Simplify right side
    12,406.72x = 108,669,378.05
  5. Step 5: Solve for x
    x = 108,669,378.05/12,406.72
  6. Step 6: Final answer
    x = 8,758.91

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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.