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Finding the Fourth Proportional to 12,128.31, 16,736.07 and 6,822.15

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Solution

The fourth proportional to 12,128.31, 16,736.07 and 6,822.15 is: 9,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.31 : 16,736.07 = 6,822.15 : x
  2. Step 2: Convert to fraction form
    12,128.31/16,736.07 = 6,822.15/x
  3. Step 3: Cross multiply
    12,128.31x = 16,736.07 × 6,822.15
  4. Step 4: Simplify right side
    12,128.31x = 114,175,979.95
  5. Step 5: Solve for x
    x = 114,175,979.95/12,128.31
  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.