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Finding the Fourth Proportional to 12,170.81, 18,256.23 and 3,405.80

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Solution

The fourth proportional to 12,170.81, 18,256.23 and 3,405.80 is: 5,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.81 : 18,256.23 = 3,405.80 : x
  2. Step 2: Convert to fraction form
    12,170.81/18,256.23 = 3,405.80/x
  3. Step 3: Cross multiply
    12,170.81x = 18,256.23 × 3,405.80
  4. Step 4: Simplify right side
    12,170.81x = 62,176,976.85
  5. Step 5: Solve for x
    x = 62,176,976.85/12,170.81
  6. Step 6: Final answer
    x = 5,108.70

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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.