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Finding the Fourth Proportional to 27,745.92, 38,268.16 and 17,676.16

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Solution

The fourth proportional to 27,745.92, 38,268.16 and 17,676.16 is: 24,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.92 : 38,268.16 = 17,676.16 : x
  2. Step 2: Convert to fraction form
    27,745.92/38,268.16 = 17,676.16/x
  3. Step 3: Cross multiply
    27,745.92x = 38,268.16 × 17,676.16
  4. Step 4: Simplify right side
    27,745.92x = 676,434,119.07
  5. Step 5: Solve for x
    x = 676,434,119.07/27,745.92
  6. Step 6: Final answer
    x = 24,379.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.