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Finding the Fourth Proportional to 27,610.74, 38,103 and 15,674.29

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Solution

The fourth proportional to 27,610.74, 38,103 and 15,674.29 is: 21,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610.74 : 38,103 = 15,674.29 : x
  2. Step 2: Convert to fraction form
    27,610.74/38,103 = 15,674.29/x
  3. Step 3: Cross multiply
    27,610.74x = 38,103 × 15,674.29
  4. Step 4: Simplify right side
    27,610.74x = 597,237,471.87
  5. Step 5: Solve for x
    x = 597,237,471.87/27,610.74
  6. Step 6: Final answer
    x = 21,630.62

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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.