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Finding the Fourth Proportional to 19,813.97, 29,725.56 and 5,775.49

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Solution

The fourth proportional to 19,813.97, 29,725.56 and 5,775.49 is: 8,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.97 : 29,725.56 = 5,775.49 : x
  2. Step 2: Convert to fraction form
    19,813.97/29,725.56 = 5,775.49/x
  3. Step 3: Cross multiply
    19,813.97x = 29,725.56 × 5,775.49
  4. Step 4: Simplify right side
    19,813.97x = 171,679,525.90
  5. Step 5: Solve for x
    x = 171,679,525.90/19,813.97
  6. Step 6: Final answer
    x = 8,664.57

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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.