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Finding the Fourth Proportional to 17,680.35, 24,402.60 and 11,215.83

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Solution

The fourth proportional to 17,680.35, 24,402.60 and 11,215.83 is: 15,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.35 : 24,402.60 = 11,215.83 : x
  2. Step 2: Convert to fraction form
    17,680.35/24,402.60 = 11,215.83/x
  3. Step 3: Cross multiply
    17,680.35x = 24,402.60 × 11,215.83
  4. Step 4: Simplify right side
    17,680.35x = 273,695,413.16
  5. Step 5: Solve for x
    x = 273,695,413.16/17,680.35
  6. Step 6: Final answer
    x = 15,480.20

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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.