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Finding the Fourth Proportional to 27,996.72, 38,634.12 and 15,421.20

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Solution

The fourth proportional to 27,996.72, 38,634.12 and 15,421.20 is: 21,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.72 : 38,634.12 = 15,421.20 : x
  2. Step 2: Convert to fraction form
    27,996.72/38,634.12 = 15,421.20/x
  3. Step 3: Cross multiply
    27,996.72x = 38,634.12 × 15,421.20
  4. Step 4: Simplify right side
    27,996.72x = 595,784,491.34
  5. Step 5: Solve for x
    x = 595,784,491.34/27,996.72
  6. Step 6: Final answer
    x = 21,280.51

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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.