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Finding the Fourth Proportional to 27,546.46, 38,014.41 and 14,971.21

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Solution

The fourth proportional to 27,546.46, 38,014.41 and 14,971.21 is: 20,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.46 : 38,014.41 = 14,971.21 : x
  2. Step 2: Convert to fraction form
    27,546.46/38,014.41 = 14,971.21/x
  3. Step 3: Cross multiply
    27,546.46x = 38,014.41 × 14,971.21
  4. Step 4: Simplify right side
    27,546.46x = 569,121,715.14
  5. Step 5: Solve for x
    x = 569,121,715.14/27,546.46
  6. Step 6: Final answer
    x = 20,660.43

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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.