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Finding the Fourth Proportional to 17,104, 23,603.52 and 9,652.48

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Solution

The fourth proportional to 17,104, 23,603.52 and 9,652.48 is: 13,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104 : 23,603.52 = 9,652.48 : x
  2. Step 2: Convert to fraction form
    17,104/23,603.52 = 9,652.48/x
  3. Step 3: Cross multiply
    17,104x = 23,603.52 × 9,652.48
  4. Step 4: Simplify right side
    17,104x = 227,832,504.73
  5. Step 5: Solve for x
    x = 227,832,504.73/17,104
  6. Step 6: Final answer
    x = 13,320.42

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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.