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Finding the Fourth Proportional to 12,129.21, 16,736.94 and 6,823.91

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Solution

The fourth proportional to 12,129.21, 16,736.94 and 6,823.91 is: 9,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.21 : 16,736.94 = 6,823.91 : x
  2. Step 2: Convert to fraction form
    12,129.21/16,736.94 = 6,823.91/x
  3. Step 3: Cross multiply
    12,129.21x = 16,736.94 × 6,823.91
  4. Step 4: Simplify right side
    12,129.21x = 114,211,414.08
  5. Step 5: Solve for x
    x = 114,211,414.08/12,129.21
  6. Step 6: Final answer
    x = 9,416.23

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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.