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Finding the Fourth Proportional to 13,231.81, 19,857.96 and 6,900.44

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Solution

The fourth proportional to 13,231.81, 19,857.96 and 6,900.44 is: 10,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.81 : 19,857.96 = 6,900.44 : x
  2. Step 2: Convert to fraction form
    13,231.81/19,857.96 = 6,900.44/x
  3. Step 3: Cross multiply
    13,231.81x = 19,857.96 × 6,900.44
  4. Step 4: Simplify right side
    13,231.81x = 137,028,673.91
  5. Step 5: Solve for x
    x = 137,028,673.91/13,231.81
  6. Step 6: Final answer
    x = 10,356.01

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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.