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Finding the Fourth Proportional to 14,971.64, 20,660.56 and 8,257.88

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Solution

The fourth proportional to 14,971.64, 20,660.56 and 8,257.88 is: 11,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.64 : 20,660.56 = 8,257.88 : x
  2. Step 2: Convert to fraction form
    14,971.64/20,660.56 = 8,257.88/x
  3. Step 3: Cross multiply
    14,971.64x = 20,660.56 × 8,257.88
  4. Step 4: Simplify right side
    14,971.64x = 170,612,456.22
  5. Step 5: Solve for x
    x = 170,612,456.22/14,971.64
  6. Step 6: Final answer
    x = 11,395.71

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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.