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Finding the Fourth Proportional to 13,099.98, 19,649.43 and 3,239.01

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Solution

The fourth proportional to 13,099.98, 19,649.43 and 3,239.01 is: 4,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.98 : 19,649.43 = 3,239.01 : x
  2. Step 2: Convert to fraction form
    13,099.98/19,649.43 = 3,239.01/x
  3. Step 3: Cross multiply
    13,099.98x = 19,649.43 × 3,239.01
  4. Step 4: Simplify right side
    13,099.98x = 63,644,700.26
  5. Step 5: Solve for x
    x = 63,644,700.26/13,099.98
  6. Step 6: Final answer
    x = 4,858.38

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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.