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Finding the Fourth Proportional to 27,016.96, 40,522.08 and 11,432.64

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Solution

The fourth proportional to 27,016.96, 40,522.08 and 11,432.64 is: 17,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016.96 : 40,522.08 = 11,432.64 : x
  2. Step 2: Convert to fraction form
    27,016.96/40,522.08 = 11,432.64/x
  3. Step 3: Cross multiply
    27,016.96x = 40,522.08 × 11,432.64
  4. Step 4: Simplify right side
    27,016.96x = 463,274,352.69
  5. Step 5: Solve for x
    x = 463,274,352.69/27,016.96
  6. Step 6: Final answer
    x = 17,147.54

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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.