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Finding the Fourth Proportional to 12,232.40, 16,884.72 and 7,196.36

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Solution

The fourth proportional to 12,232.40, 16,884.72 and 7,196.36 is: 9,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.40 : 16,884.72 = 7,196.36 : x
  2. Step 2: Convert to fraction form
    12,232.40/16,884.72 = 7,196.36/x
  3. Step 3: Cross multiply
    12,232.40x = 16,884.72 × 7,196.36
  4. Step 4: Simplify right side
    12,232.40x = 121,508,523.62
  5. Step 5: Solve for x
    x = 121,508,523.62/12,232.40
  6. Step 6: Final answer
    x = 9,933.33

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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.