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Finding the Fourth Proportional to 12,126.96, 16,735.14 and 6,821.69

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Solution

The fourth proportional to 12,126.96, 16,735.14 and 6,821.69 is: 9,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.96 : 16,735.14 = 6,821.69 : x
  2. Step 2: Convert to fraction form
    12,126.96/16,735.14 = 6,821.69/x
  3. Step 3: Cross multiply
    12,126.96x = 16,735.14 × 6,821.69
  4. Step 4: Simplify right side
    12,126.96x = 114,161,853.51
  5. Step 5: Solve for x
    x = 114,161,853.51/12,126.96
  6. Step 6: Final answer
    x = 9,413.89

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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.