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Finding the Fourth Proportional to 12,843, 19,264.50 and 3,609

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Solution

The fourth proportional to 12,843, 19,264.50 and 3,609 is: 5,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843 : 19,264.50 = 3,609 : x
  2. Step 2: Convert to fraction form
    12,843/19,264.50 = 3,609/x
  3. Step 3: Cross multiply
    12,843x = 19,264.50 × 3,609
  4. Step 4: Simplify right side
    12,843x = 69,525,580.50
  5. Step 5: Solve for x
    x = 69,525,580.50/12,843
  6. Step 6: Final answer
    x = 5,413.50

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