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Finding the Fourth Proportional to 27,571.38, 38,048.50 and 14,996.13

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Solution

The fourth proportional to 27,571.38, 38,048.50 and 14,996.13 is: 20,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.38 : 38,048.50 = 14,996.13 : x
  2. Step 2: Convert to fraction form
    27,571.38/38,048.50 = 14,996.13/x
  3. Step 3: Cross multiply
    27,571.38x = 38,048.50 × 14,996.13
  4. Step 4: Simplify right side
    27,571.38x = 570,580,252.31
  5. Step 5: Solve for x
    x = 570,580,252.31/27,571.38
  6. Step 6: Final answer
    x = 20,694.66

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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.