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Finding the Fourth Proportional to 11,820.90, 17,729.67 and 4,705.14

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Solution

The fourth proportional to 11,820.90, 17,729.67 and 4,705.14 is: 7,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.90 : 17,729.67 = 4,705.14 : x
  2. Step 2: Convert to fraction form
    11,820.90/17,729.67 = 4,705.14/x
  3. Step 3: Cross multiply
    11,820.90x = 17,729.67 × 4,705.14
  4. Step 4: Simplify right side
    11,820.90x = 83,420,579.50
  5. Step 5: Solve for x
    x = 83,420,579.50/11,820.90
  6. Step 6: Final answer
    x = 7,057.04

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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.