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Finding the Fourth Proportional to 12,134.27, 18,178.07 and 7,440.58

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Solution

The fourth proportional to 12,134.27, 18,178.07 and 7,440.58 is: 11,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.27 : 18,178.07 = 7,440.58 : x
  2. Step 2: Convert to fraction form
    12,134.27/18,178.07 = 7,440.58/x
  3. Step 3: Cross multiply
    12,134.27x = 18,178.07 × 7,440.58
  4. Step 4: Simplify right side
    12,134.27x = 135,255,369.60
  5. Step 5: Solve for x
    x = 135,255,369.60/12,134.27
  6. Step 6: Final answer
    x = 11,146.56

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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.