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Finding the Fourth Proportional to 17,299.48, 23,873.36 and 9,745.90

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Solution

The fourth proportional to 17,299.48, 23,873.36 and 9,745.90 is: 13,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,299.48 : 23,873.36 = 9,745.90 : x
  2. Step 2: Convert to fraction form
    17,299.48/23,873.36 = 9,745.90/x
  3. Step 3: Cross multiply
    17,299.48x = 23,873.36 × 9,745.90
  4. Step 4: Simplify right side
    17,299.48x = 232,667,449.11
  5. Step 5: Solve for x
    x = 232,667,449.11/17,299.48
  6. Step 6: Final answer
    x = 13,449.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.