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Finding the Fourth Proportional to 27,638.66, 38,142.36 and 15,704.01

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Solution

The fourth proportional to 27,638.66, 38,142.36 and 15,704.01 is: 21,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.66 : 38,142.36 = 15,704.01 : x
  2. Step 2: Convert to fraction form
    27,638.66/38,142.36 = 15,704.01/x
  3. Step 3: Cross multiply
    27,638.66x = 38,142.36 × 15,704.01
  4. Step 4: Simplify right side
    27,638.66x = 598,988,002.86
  5. Step 5: Solve for x
    x = 598,988,002.86/27,638.66
  6. Step 6: Final answer
    x = 21,672.11

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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.