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Finding the Fourth Proportional to 12,126.33, 16,734.98 and 6,821.48

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Solution

The fourth proportional to 12,126.33, 16,734.98 and 6,821.48 is: 9,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.33 : 16,734.98 = 6,821.48 : x
  2. Step 2: Convert to fraction form
    12,126.33/16,734.98 = 6,821.48/x
  3. Step 3: Cross multiply
    12,126.33x = 16,734.98 × 6,821.48
  4. Step 4: Simplify right side
    12,126.33x = 114,157,390.26
  5. Step 5: Solve for x
    x = 114,157,390.26/12,126.33
  6. Step 6: Final answer
    x = 9,414.01

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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.