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Finding the Fourth Proportional to 14,413.38, 21,601.22 and 7,387.44

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Solution

The fourth proportional to 14,413.38, 21,601.22 and 7,387.44 is: 11,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.38 : 21,601.22 = 7,387.44 : x
  2. Step 2: Convert to fraction form
    14,413.38/21,601.22 = 7,387.44/x
  3. Step 3: Cross multiply
    14,413.38x = 21,601.22 × 7,387.44
  4. Step 4: Simplify right side
    14,413.38x = 159,577,716.68
  5. Step 5: Solve for x
    x = 159,577,716.68/14,413.38
  6. Step 6: Final answer
    x = 11,071.50

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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.