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Finding the Fourth Proportional to 13,742.56, 18,964.74 and 8,081.02

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Solution

The fourth proportional to 13,742.56, 18,964.74 and 8,081.02 is: 11,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.56 : 18,964.74 = 8,081.02 : x
  2. Step 2: Convert to fraction form
    13,742.56/18,964.74 = 8,081.02/x
  3. Step 3: Cross multiply
    13,742.56x = 18,964.74 × 8,081.02
  4. Step 4: Simplify right side
    13,742.56x = 153,254,443.23
  5. Step 5: Solve for x
    x = 153,254,443.23/13,742.56
  6. Step 6: Final answer
    x = 11,151.81

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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.