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Finding the Fourth Proportional to 12,189.96, 18,285.42 and 3,425.64

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Solution

The fourth proportional to 12,189.96, 18,285.42 and 3,425.64 is: 5,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.96 : 18,285.42 = 3,425.64 : x
  2. Step 2: Convert to fraction form
    12,189.96/18,285.42 = 3,425.64/x
  3. Step 3: Cross multiply
    12,189.96x = 18,285.42 × 3,425.64
  4. Step 4: Simplify right side
    12,189.96x = 62,639,266.17
  5. Step 5: Solve for x
    x = 62,639,266.17/12,189.96
  6. Step 6: Final answer
    x = 5,138.59

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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.