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Finding the Fourth Proportional to 13,418.16, 20,129.40 and 4,182

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Solution

The fourth proportional to 13,418.16, 20,129.40 and 4,182 is: 6,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.16 : 20,129.40 = 4,182 : x
  2. Step 2: Convert to fraction form
    13,418.16/20,129.40 = 4,182/x
  3. Step 3: Cross multiply
    13,418.16x = 20,129.40 × 4,182
  4. Step 4: Simplify right side
    13,418.16x = 84,181,150.80
  5. Step 5: Solve for x
    x = 84,181,150.80/13,418.16
  6. Step 6: Final answer
    x = 6,273.67

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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.