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Finding the Fourth Proportional to 27,155.64, 40,739.24 and 8,435.23

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Solution

The fourth proportional to 27,155.64, 40,739.24 and 8,435.23 is: 12,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155.64 : 40,739.24 = 8,435.23 : x
  2. Step 2: Convert to fraction form
    27,155.64/40,739.24 = 8,435.23/x
  3. Step 3: Cross multiply
    27,155.64x = 40,739.24 × 8,435.23
  4. Step 4: Simplify right side
    27,155.64x = 343,644,859.43
  5. Step 5: Solve for x
    x = 343,644,859.43/27,155.64
  6. Step 6: Final answer
    x = 12,654.64

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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.