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Finding the Fourth Proportional to 38,609.38, 57,877.08 and 12,297.07

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Solution

The fourth proportional to 38,609.38, 57,877.08 and 12,297.07 is: 18,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,609.38 : 57,877.08 = 12,297.07 : x
  2. Step 2: Convert to fraction form
    38,609.38/57,877.08 = 12,297.07/x
  3. Step 3: Cross multiply
    38,609.38x = 57,877.08 × 12,297.07
  4. Step 4: Simplify right side
    38,609.38x = 711,718,504.16
  5. Step 5: Solve for x
    x = 711,718,504.16/38,609.38
  6. Step 6: Final answer
    x = 18,433.82

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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.