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Finding the Fourth Proportional to 12,126.65, 16,734.71 and 6,821.50

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Solution

The fourth proportional to 12,126.65, 16,734.71 and 6,821.50 is: 9,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.65 : 16,734.71 = 6,821.50 : x
  2. Step 2: Convert to fraction form
    12,126.65/16,734.71 = 6,821.50/x
  3. Step 3: Cross multiply
    12,126.65x = 16,734.71 × 6,821.50
  4. Step 4: Simplify right side
    12,126.65x = 114,155,792.49
  5. Step 5: Solve for x
    x = 114,155,792.49/12,126.65
  6. Step 6: Final answer
    x = 9,413.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.