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Finding the Fourth Proportional to 12,175.72, 18,273.94 and 4,785.34

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Solution

The fourth proportional to 12,175.72, 18,273.94 and 4,785.34 is: 7,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.72 : 18,273.94 = 4,785.34 : x
  2. Step 2: Convert to fraction form
    12,175.72/18,273.94 = 4,785.34/x
  3. Step 3: Cross multiply
    12,175.72x = 18,273.94 × 4,785.34
  4. Step 4: Simplify right side
    12,175.72x = 87,447,016.04
  5. Step 5: Solve for x
    x = 87,447,016.04/12,175.72
  6. Step 6: Final answer
    x = 7,182.08

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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.