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Finding the Fourth Proportional to 13,008.75, 19,512.44 and 3,649.42

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Solution

The fourth proportional to 13,008.75, 19,512.44 and 3,649.42 is: 5,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.75 : 19,512.44 = 3,649.42 : x
  2. Step 2: Convert to fraction form
    13,008.75/19,512.44 = 3,649.42/x
  3. Step 3: Cross multiply
    13,008.75x = 19,512.44 × 3,649.42
  4. Step 4: Simplify right side
    13,008.75x = 71,209,021.76
  5. Step 5: Solve for x
    x = 71,209,021.76/13,008.75
  6. Step 6: Final answer
    x = 5,473.93

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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.