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Finding the Fourth Proportional to 27,549.75, 38,018.67 and 14,974.50

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Solution

The fourth proportional to 27,549.75, 38,018.67 and 14,974.50 is: 20,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549.75 : 38,018.67 = 14,974.50 : x
  2. Step 2: Convert to fraction form
    27,549.75/38,018.67 = 14,974.50/x
  3. Step 3: Cross multiply
    27,549.75x = 38,018.67 × 14,974.50
  4. Step 4: Simplify right side
    27,549.75x = 569,310,573.92
  5. Step 5: Solve for x
    x = 569,310,573.92/27,549.75
  6. Step 6: Final answer
    x = 20,664.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.