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Finding the Fourth Proportional to 19,610.28, 29,419.74 and 6,462.09

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Solution

The fourth proportional to 19,610.28, 29,419.74 and 6,462.09 is: 9,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,610.28 : 29,419.74 = 6,462.09 : x
  2. Step 2: Convert to fraction form
    19,610.28/29,419.74 = 6,462.09/x
  3. Step 3: Cross multiply
    19,610.28x = 29,419.74 × 6,462.09
  4. Step 4: Simplify right side
    19,610.28x = 190,113,007.66
  5. Step 5: Solve for x
    x = 190,113,007.66/19,610.28
  6. Step 6: Final answer
    x = 9,694.56

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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.