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Finding the Fourth Proportional to 14,842.56, 20,496.63 and 9,546.60

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Solution

The fourth proportional to 14,842.56, 20,496.63 and 9,546.60 is: 13,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.56 : 20,496.63 = 9,546.60 : x
  2. Step 2: Convert to fraction form
    14,842.56/20,496.63 = 9,546.60/x
  3. Step 3: Cross multiply
    14,842.56x = 20,496.63 × 9,546.60
  4. Step 4: Simplify right side
    14,842.56x = 195,673,127.96
  5. Step 5: Solve for x
    x = 195,673,127.96/14,842.56
  6. Step 6: Final answer
    x = 13,183.25

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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.