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Finding the Fourth Proportional to 18,286.83, 27,413.82 and 6,597.32

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Solution

The fourth proportional to 18,286.83, 27,413.82 and 6,597.32 is: 9,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.83 : 27,413.82 = 6,597.32 : x
  2. Step 2: Convert to fraction form
    18,286.83/27,413.82 = 6,597.32/x
  3. Step 3: Cross multiply
    18,286.83x = 27,413.82 × 6,597.32
  4. Step 4: Simplify right side
    18,286.83x = 180,857,742.96
  5. Step 5: Solve for x
    x = 180,857,742.96/18,286.83
  6. Step 6: Final answer
    x = 9,890.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.