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Finding the Fourth Proportional to 14,682.87, 20,262.56 and 7,968.58

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Solution

The fourth proportional to 14,682.87, 20,262.56 and 7,968.58 is: 10,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.87 : 20,262.56 = 7,968.58 : x
  2. Step 2: Convert to fraction form
    14,682.87/20,262.56 = 7,968.58/x
  3. Step 3: Cross multiply
    14,682.87x = 20,262.56 × 7,968.58
  4. Step 4: Simplify right side
    14,682.87x = 161,463,739.87
  5. Step 5: Solve for x
    x = 161,463,739.87/14,682.87
  6. Step 6: Final answer
    x = 10,996.74

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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.