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Finding the Fourth Proportional to 19,638.75, 27,101.26 and 11,680.80

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Solution

The fourth proportional to 19,638.75, 27,101.26 and 11,680.80 is: 16,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.75 : 27,101.26 = 11,680.80 : x
  2. Step 2: Convert to fraction form
    19,638.75/27,101.26 = 11,680.80/x
  3. Step 3: Cross multiply
    19,638.75x = 27,101.26 × 11,680.80
  4. Step 4: Simplify right side
    19,638.75x = 316,564,397.81
  5. Step 5: Solve for x
    x = 316,564,397.81/19,638.75
  6. Step 6: Final answer
    x = 16,119.38

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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.