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Finding the Fourth Proportional to 27,381.92, 37,770 and 16,196

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Solution

The fourth proportional to 27,381.92, 37,770 and 16,196 is: 22,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.92 : 37,770 = 16,196 : x
  2. Step 2: Convert to fraction form
    27,381.92/37,770 = 16,196/x
  3. Step 3: Cross multiply
    27,381.92x = 37,770 × 16,196
  4. Step 4: Simplify right side
    27,381.92x = 611,722,920
  5. Step 5: Solve for x
    x = 611,722,920/27,381.92
  6. Step 6: Final answer
    x = 22,340.40

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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.