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Finding the Fourth Proportional to 27,841.96, 38,422.50 and 16,939.96

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Solution

The fourth proportional to 27,841.96, 38,422.50 and 16,939.96 is: 23,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.96 : 38,422.50 = 16,939.96 : x
  2. Step 2: Convert to fraction form
    27,841.96/38,422.50 = 16,939.96/x
  3. Step 3: Cross multiply
    27,841.96x = 38,422.50 × 16,939.96
  4. Step 4: Simplify right side
    27,841.96x = 650,875,613.10
  5. Step 5: Solve for x
    x = 650,875,613.10/27,841.96
  6. Step 6: Final answer
    x = 23,377.51

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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.