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Finding the Fourth Proportional to 12,206.42, 16,832.73 and 9,188.77

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Solution

The fourth proportional to 12,206.42, 16,832.73 and 9,188.77 is: 12,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.42 : 16,832.73 = 9,188.77 : x
  2. Step 2: Convert to fraction form
    12,206.42/16,832.73 = 9,188.77/x
  3. Step 3: Cross multiply
    12,206.42x = 16,832.73 × 9,188.77
  4. Step 4: Simplify right side
    12,206.42x = 154,672,076.82
  5. Step 5: Solve for x
    x = 154,672,076.82/12,206.42
  6. Step 6: Final answer
    x = 12,671.37

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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.