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Finding the Fourth Proportional to 12,128.55, 16,736.22 and 6,823.26

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Solution

The fourth proportional to 12,128.55, 16,736.22 and 6,823.26 is: 9,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.55 : 16,736.22 = 6,823.26 : x
  2. Step 2: Convert to fraction form
    12,128.55/16,736.22 = 6,823.26/x
  3. Step 3: Cross multiply
    12,128.55x = 16,736.22 × 6,823.26
  4. Step 4: Simplify right side
    12,128.55x = 114,195,580.48
  5. Step 5: Solve for x
    x = 114,195,580.48/12,128.55
  6. Step 6: Final answer
    x = 9,415.44

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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.