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Finding the Fourth Proportional to 19,419.66, 29,120.28 and 6,765

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Solution

The fourth proportional to 19,419.66, 29,120.28 and 6,765 is: 10,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.66 : 29,120.28 = 6,765 : x
  2. Step 2: Convert to fraction form
    19,419.66/29,120.28 = 6,765/x
  3. Step 3: Cross multiply
    19,419.66x = 29,120.28 × 6,765
  4. Step 4: Simplify right side
    19,419.66x = 196,998,694.20
  5. Step 5: Solve for x
    x = 196,998,694.20/19,419.66
  6. Step 6: Final answer
    x = 10,144.29

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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.