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Finding the Fourth Proportional to 27,546.86, 38,014.34 and 14,971.34

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Solution

The fourth proportional to 27,546.86, 38,014.34 and 14,971.34 is: 20,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.86 : 38,014.34 = 14,971.34 : x
  2. Step 2: Convert to fraction form
    27,546.86/38,014.34 = 14,971.34/x
  3. Step 3: Cross multiply
    27,546.86x = 38,014.34 × 14,971.34
  4. Step 4: Simplify right side
    27,546.86x = 569,125,609.02
  5. Step 5: Solve for x
    x = 569,125,609.02/27,546.86
  6. Step 6: Final answer
    x = 20,660.27

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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.