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Finding the Fourth Proportional to 17,689.86, 24,413.19 and 10,517.88

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Solution

The fourth proportional to 17,689.86, 24,413.19 and 10,517.88 is: 14,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.86 : 24,413.19 = 10,517.88 : x
  2. Step 2: Convert to fraction form
    17,689.86/24,413.19 = 10,517.88/x
  3. Step 3: Cross multiply
    17,689.86x = 24,413.19 × 10,517.88
  4. Step 4: Simplify right side
    17,689.86x = 256,775,002.84
  5. Step 5: Solve for x
    x = 256,775,002.84/17,689.86
  6. Step 6: Final answer
    x = 14,515.38

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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.