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Finding the Fourth Proportional to 13,008.50, 19,512.07 and 3,649.17

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Solution

The fourth proportional to 13,008.50, 19,512.07 and 3,649.17 is: 5,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.50 : 19,512.07 = 3,649.17 : x
  2. Step 2: Convert to fraction form
    13,008.50/19,512.07 = 3,649.17/x
  3. Step 3: Cross multiply
    13,008.50x = 19,512.07 × 3,649.17
  4. Step 4: Simplify right side
    13,008.50x = 71,202,842.24
  5. Step 5: Solve for x
    x = 71,202,842.24/13,008.50
  6. Step 6: Final answer
    x = 5,473.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.