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Finding the Fourth Proportional to 12,128.21, 16,736.87 and 6,823.06

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Solution

The fourth proportional to 12,128.21, 16,736.87 and 6,823.06 is: 9,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.21 : 16,736.87 = 6,823.06 : x
  2. Step 2: Convert to fraction form
    12,128.21/16,736.87 = 6,823.06/x
  3. Step 3: Cross multiply
    12,128.21x = 16,736.87 × 6,823.06
  4. Step 4: Simplify right side
    12,128.21x = 114,196,634.11
  5. Step 5: Solve for x
    x = 114,196,634.11/12,128.21
  6. Step 6: Final answer
    x = 9,415.79

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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.