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Finding the Fourth Proportional to 27,571.17, 38,027.84 and 17,490.93

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Solution

The fourth proportional to 27,571.17, 38,027.84 and 17,490.93 is: 24,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.17 : 38,027.84 = 17,490.93 : x
  2. Step 2: Convert to fraction form
    27,571.17/38,027.84 = 17,490.93/x
  3. Step 3: Cross multiply
    27,571.17x = 38,027.84 × 17,490.93
  4. Step 4: Simplify right side
    27,571.17x = 665,142,287.49
  5. Step 5: Solve for x
    x = 665,142,287.49/27,571.17
  6. Step 6: Final answer
    x = 24,124.56

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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.