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Finding the Fourth Proportional to 12,138.34, 18,190.58 and 9,174.34

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Solution

The fourth proportional to 12,138.34, 18,190.58 and 9,174.34 is: 13,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.34 : 18,190.58 = 9,174.34 : x
  2. Step 2: Convert to fraction form
    12,138.34/18,190.58 = 9,174.34/x
  3. Step 3: Cross multiply
    12,138.34x = 18,190.58 × 9,174.34
  4. Step 4: Simplify right side
    12,138.34x = 166,886,565.72
  5. Step 5: Solve for x
    x = 166,886,565.72/12,138.34
  6. Step 6: Final answer
    x = 13,748.71

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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.