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Finding the Fourth Proportional to 12,197.36, 16,832.80 and 6,892.76

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Solution

The fourth proportional to 12,197.36, 16,832.80 and 6,892.76 is: 9,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.36 : 16,832.80 = 6,892.76 : x
  2. Step 2: Convert to fraction form
    12,197.36/16,832.80 = 6,892.76/x
  3. Step 3: Cross multiply
    12,197.36x = 16,832.80 × 6,892.76
  4. Step 4: Simplify right side
    12,197.36x = 116,024,450.53
  5. Step 5: Solve for x
    x = 116,024,450.53/12,197.36
  6. Step 6: Final answer
    x = 9,512.26

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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.