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Finding the Fourth Proportional to 12,257.38, 18,383.71 and 4,760.93

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Solution

The fourth proportional to 12,257.38, 18,383.71 and 4,760.93 is: 7,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.38 : 18,383.71 = 4,760.93 : x
  2. Step 2: Convert to fraction form
    12,257.38/18,383.71 = 4,760.93/x
  3. Step 3: Cross multiply
    12,257.38x = 18,383.71 × 4,760.93
  4. Step 4: Simplify right side
    12,257.38x = 87,523,496.03
  5. Step 5: Solve for x
    x = 87,523,496.03/12,257.38
  6. Step 6: Final answer
    x = 7,140.48

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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.