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Finding the Fourth Proportional to 23,208.33, 34,806 and 7,413.33

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Solution

The fourth proportional to 23,208.33, 34,806 and 7,413.33 is: 11,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.33 : 34,806 = 7,413.33 : x
  2. Step 2: Convert to fraction form
    23,208.33/34,806 = 7,413.33/x
  3. Step 3: Cross multiply
    23,208.33x = 34,806 × 7,413.33
  4. Step 4: Simplify right side
    23,208.33x = 258,028,363.98
  5. Step 5: Solve for x
    x = 258,028,363.98/23,208.33
  6. Step 6: Final answer
    x = 11,117.92

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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.