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Finding the Fourth Proportional to 21,413.91, 32,112.87 and 7,369.96

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Solution

The fourth proportional to 21,413.91, 32,112.87 and 7,369.96 is: 11,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.91 : 32,112.87 = 7,369.96 : x
  2. Step 2: Convert to fraction form
    21,413.91/32,112.87 = 7,369.96/x
  3. Step 3: Cross multiply
    21,413.91x = 32,112.87 × 7,369.96
  4. Step 4: Simplify right side
    21,413.91x = 236,670,567.39
  5. Step 5: Solve for x
    x = 236,670,567.39/21,413.91
  6. Step 6: Final answer
    x = 11,052.19

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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.