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Finding the Fourth Proportional to 27,709.50, 38,239.31 and 15,134.25

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Solution

The fourth proportional to 27,709.50, 38,239.31 and 15,134.25 is: 20,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.50 : 38,239.31 = 15,134.25 : x
  2. Step 2: Convert to fraction form
    27,709.50/38,239.31 = 15,134.25/x
  3. Step 3: Cross multiply
    27,709.50x = 38,239.31 × 15,134.25
  4. Step 4: Simplify right side
    27,709.50x = 578,723,315.20
  5. Step 5: Solve for x
    x = 578,723,315.20/27,709.50
  6. Step 6: Final answer
    x = 20,885.38

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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.