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Finding the Fourth Proportional to 12,380.91, 18,570.04 and 3,496.02

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Solution

The fourth proportional to 12,380.91, 18,570.04 and 3,496.02 is: 5,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.91 : 18,570.04 = 3,496.02 : x
  2. Step 2: Convert to fraction form
    12,380.91/18,570.04 = 3,496.02/x
  3. Step 3: Cross multiply
    12,380.91x = 18,570.04 × 3,496.02
  4. Step 4: Simplify right side
    12,380.91x = 64,921,231.24
  5. Step 5: Solve for x
    x = 64,921,231.24/12,380.91
  6. Step 6: Final answer
    x = 5,243.66

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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.