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Finding the Fourth Proportional to 18,452.16, 27,676.80 and 5,971.68

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Solution

The fourth proportional to 18,452.16, 27,676.80 and 5,971.68 is: 8,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,452.16 : 27,676.80 = 5,971.68 : x
  2. Step 2: Convert to fraction form
    18,452.16/27,676.80 = 5,971.68/x
  3. Step 3: Cross multiply
    18,452.16x = 27,676.80 × 5,971.68
  4. Step 4: Simplify right side
    18,452.16x = 165,276,993.02
  5. Step 5: Solve for x
    x = 165,276,993.02/18,452.16
  6. Step 6: Final answer
    x = 8,957.05

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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.