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Finding the Fourth Proportional to 13,832.69, 20,739.31 and 5,066.46

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Solution

The fourth proportional to 13,832.69, 20,739.31 and 5,066.46 is: 7,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.69 : 20,739.31 = 5,066.46 : x
  2. Step 2: Convert to fraction form
    13,832.69/20,739.31 = 5,066.46/x
  3. Step 3: Cross multiply
    13,832.69x = 20,739.31 × 5,066.46
  4. Step 4: Simplify right side
    13,832.69x = 105,074,871.88
  5. Step 5: Solve for x
    x = 105,074,871.88/13,832.69
  6. Step 6: Final answer
    x = 7,596.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.