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Finding the Fourth Proportional to 26,232.16, 39,304.48 and 18,427

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Solution

The fourth proportional to 26,232.16, 39,304.48 and 18,427 is: 27,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,232.16 : 39,304.48 = 18,427 : x
  2. Step 2: Convert to fraction form
    26,232.16/39,304.48 = 18,427/x
  3. Step 3: Cross multiply
    26,232.16x = 39,304.48 × 18,427
  4. Step 4: Simplify right side
    26,232.16x = 724,263,652.96
  5. Step 5: Solve for x
    x = 724,263,652.96/26,232.16
  6. Step 6: Final answer
    x = 27,609.76

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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.