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Finding the Fourth Proportional to 27,683.84, 41,540.34 and 12,112.40

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Solution

The fourth proportional to 27,683.84, 41,540.34 and 12,112.40 is: 18,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.84 : 41,540.34 = 12,112.40 : x
  2. Step 2: Convert to fraction form
    27,683.84/41,540.34 = 12,112.40/x
  3. Step 3: Cross multiply
    27,683.84x = 41,540.34 × 12,112.40
  4. Step 4: Simplify right side
    27,683.84x = 503,153,214.22
  5. Step 5: Solve for x
    x = 503,153,214.22/27,683.84
  6. Step 6: Final answer
    x = 18,174.98

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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.