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Finding the Fourth Proportional to 12,128.56, 16,736.76 and 6,823.24

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Solution

The fourth proportional to 12,128.56, 16,736.76 and 6,823.24 is: 9,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.56 : 16,736.76 = 6,823.24 : x
  2. Step 2: Convert to fraction form
    12,128.56/16,736.76 = 6,823.24/x
  3. Step 3: Cross multiply
    12,128.56x = 16,736.76 × 6,823.24
  4. Step 4: Simplify right side
    12,128.56x = 114,198,930.30
  5. Step 5: Solve for x
    x = 114,198,930.30/12,128.56
  6. Step 6: Final answer
    x = 9,415.70

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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.