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Finding the Fourth Proportional to 13,099.68, 19,649.16 and 3,238.92

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Solution

The fourth proportional to 13,099.68, 19,649.16 and 3,238.92 is: 4,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.68 : 19,649.16 = 3,238.92 : x
  2. Step 2: Convert to fraction form
    13,099.68/19,649.16 = 3,238.92/x
  3. Step 3: Cross multiply
    13,099.68x = 19,649.16 × 3,238.92
  4. Step 4: Simplify right side
    13,099.68x = 63,642,057.31
  5. Step 5: Solve for x
    x = 63,642,057.31/13,099.68
  6. Step 6: Final answer
    x = 4,858.29

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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.