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Finding the Fourth Proportional to 17,413.44, 24,027.84 and 9,960

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Solution

The fourth proportional to 17,413.44, 24,027.84 and 9,960 is: 13,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.44 : 24,027.84 = 9,960 : x
  2. Step 2: Convert to fraction form
    17,413.44/24,027.84 = 9,960/x
  3. Step 3: Cross multiply
    17,413.44x = 24,027.84 × 9,960
  4. Step 4: Simplify right side
    17,413.44x = 239,317,286.40
  5. Step 5: Solve for x
    x = 239,317,286.40/17,413.44
  6. Step 6: Final answer
    x = 13,743.25

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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.