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Finding the Fourth Proportional to 12,128.42, 16,736.32 and 6,822.21

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Solution

The fourth proportional to 12,128.42, 16,736.32 and 6,822.21 is: 9,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.42 : 16,736.32 = 6,822.21 : x
  2. Step 2: Convert to fraction form
    12,128.42/16,736.32 = 6,822.21/x
  3. Step 3: Cross multiply
    12,128.42x = 16,736.32 × 6,822.21
  4. Step 4: Simplify right side
    12,128.42x = 114,178,722.58
  5. Step 5: Solve for x
    x = 114,178,722.58/12,128.42
  6. Step 6: Final answer
    x = 9,414.14

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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.