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Finding the Fourth Proportional to 13,057.49, 19,544.92 and 8,371.24

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Solution

The fourth proportional to 13,057.49, 19,544.92 and 8,371.24 is: 12,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.49 : 19,544.92 = 8,371.24 : x
  2. Step 2: Convert to fraction form
    13,057.49/19,544.92 = 8,371.24/x
  3. Step 3: Cross multiply
    13,057.49x = 19,544.92 × 8,371.24
  4. Step 4: Simplify right side
    13,057.49x = 163,615,216.10
  5. Step 5: Solve for x
    x = 163,615,216.10/13,057.49
  6. Step 6: Final answer
    x = 12,530.37

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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.