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Finding the Fourth Proportional to 17,413.93, 24,031.71 and 9,456.64

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Solution

The fourth proportional to 17,413.93, 24,031.71 and 9,456.64 is: 13,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.93 : 24,031.71 = 9,456.64 : x
  2. Step 2: Convert to fraction form
    17,413.93/24,031.71 = 9,456.64/x
  3. Step 3: Cross multiply
    17,413.93x = 24,031.71 × 9,456.64
  4. Step 4: Simplify right side
    17,413.93x = 227,259,230.05
  5. Step 5: Solve for x
    x = 227,259,230.05/17,413.93
  6. Step 6: Final answer
    x = 13,050.43

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