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Finding the Fourth Proportional to 27,114.44, 40,673.10 and 8,407.40

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Solution

The fourth proportional to 27,114.44, 40,673.10 and 8,407.40 is: 12,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.44 : 40,673.10 = 8,407.40 : x
  2. Step 2: Convert to fraction form
    27,114.44/40,673.10 = 8,407.40/x
  3. Step 3: Cross multiply
    27,114.44x = 40,673.10 × 8,407.40
  4. Step 4: Simplify right side
    27,114.44x = 341,954,817.57
  5. Step 5: Solve for x
    x = 341,954,817.57/27,114.44
  6. Step 6: Final answer
    x = 12,611.54

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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.