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Finding the Fourth Proportional to 19,629.28, 29,430 and 9,235.36

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Solution

The fourth proportional to 19,629.28, 29,430 and 9,235.36 is: 13,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629.28 : 29,430 = 9,235.36 : x
  2. Step 2: Convert to fraction form
    19,629.28/29,430 = 9,235.36/x
  3. Step 3: Cross multiply
    19,629.28x = 29,430 × 9,235.36
  4. Step 4: Simplify right side
    19,629.28x = 271,796,644.80
  5. Step 5: Solve for x
    x = 271,796,644.80/19,629.28
  6. Step 6: Final answer
    x = 13,846.49

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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.