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Finding the Fourth Proportional to 11,706.20, 17,435.11 and 11,649.68

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Solution

The fourth proportional to 11,706.20, 17,435.11 and 11,649.68 is: 17,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.20 : 17,435.11 = 11,649.68 : x
  2. Step 2: Convert to fraction form
    11,706.20/17,435.11 = 11,649.68/x
  3. Step 3: Cross multiply
    11,706.20x = 17,435.11 × 11,649.68
  4. Step 4: Simplify right side
    11,706.20x = 203,113,452.26
  5. Step 5: Solve for x
    x = 203,113,452.26/11,706.20
  6. Step 6: Final answer
    x = 17,350.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.