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Finding the Fourth Proportional to 12,245.36, 16,895.64 and 7,767.49

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Solution

The fourth proportional to 12,245.36, 16,895.64 and 7,767.49 is: 10,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.36 : 16,895.64 = 7,767.49 : x
  2. Step 2: Convert to fraction form
    12,245.36/16,895.64 = 7,767.49/x
  3. Step 3: Cross multiply
    12,245.36x = 16,895.64 × 7,767.49
  4. Step 4: Simplify right side
    12,245.36x = 131,236,630.27
  5. Step 5: Solve for x
    x = 131,236,630.27/12,245.36
  6. Step 6: Final answer
    x = 10,717.25

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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.