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Finding the Fourth Proportional to 27,546.57, 38,014.56 and 14,971.32

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Solution

The fourth proportional to 27,546.57, 38,014.56 and 14,971.32 is: 20,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.57 : 38,014.56 = 14,971.32 : x
  2. Step 2: Convert to fraction form
    27,546.57/38,014.56 = 14,971.32/x
  3. Step 3: Cross multiply
    27,546.57x = 38,014.56 × 14,971.32
  4. Step 4: Simplify right side
    27,546.57x = 569,127,952.35
  5. Step 5: Solve for x
    x = 569,127,952.35/27,546.57
  6. Step 6: Final answer
    x = 20,660.58

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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.