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Finding the Fourth Proportional to 27,546.39, 38,013.84 and 14,971.14

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Solution

The fourth proportional to 27,546.39, 38,013.84 and 14,971.14 is: 20,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.39 : 38,013.84 = 14,971.14 : x
  2. Step 2: Convert to fraction form
    27,546.39/38,013.84 = 14,971.14/x
  3. Step 3: Cross multiply
    27,546.39x = 38,013.84 × 14,971.14
  4. Step 4: Simplify right side
    27,546.39x = 569,110,520.58
  5. Step 5: Solve for x
    x = 569,110,520.58/27,546.39
  6. Step 6: Final answer
    x = 20,660.08

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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.