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Finding the Fourth Proportional to 27,665.28, 41,523.84 and 12,884.40

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Solution

The fourth proportional to 27,665.28, 41,523.84 and 12,884.40 is: 19,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.28 : 41,523.84 = 12,884.40 : x
  2. Step 2: Convert to fraction form
    27,665.28/41,523.84 = 12,884.40/x
  3. Step 3: Cross multiply
    27,665.28x = 41,523.84 × 12,884.40
  4. Step 4: Simplify right side
    27,665.28x = 535,009,764.10
  5. Step 5: Solve for x
    x = 535,009,764.10/27,665.28
  6. Step 6: Final answer
    x = 19,338.67

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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.