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Finding the Fourth Proportional to 12,310.44, 18,465.96 and 4,413.50

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Solution

The fourth proportional to 12,310.44, 18,465.96 and 4,413.50 is: 6,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.44 : 18,465.96 = 4,413.50 : x
  2. Step 2: Convert to fraction form
    12,310.44/18,465.96 = 4,413.50/x
  3. Step 3: Cross multiply
    12,310.44x = 18,465.96 × 4,413.50
  4. Step 4: Simplify right side
    12,310.44x = 81,499,514.46
  5. Step 5: Solve for x
    x = 81,499,514.46/12,310.44
  6. Step 6: Final answer
    x = 6,620.36

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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.