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Finding the Fourth Proportional to 12,232.02, 16,880.22 and 7,196.43

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Solution

The fourth proportional to 12,232.02, 16,880.22 and 7,196.43 is: 9,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.02 : 16,880.22 = 7,196.43 : x
  2. Step 2: Convert to fraction form
    12,232.02/16,880.22 = 7,196.43/x
  3. Step 3: Cross multiply
    12,232.02x = 16,880.22 × 7,196.43
  4. Step 4: Simplify right side
    12,232.02x = 121,477,321.61
  5. Step 5: Solve for x
    x = 121,477,321.61/12,232.02
  6. Step 6: Final answer
    x = 9,931.09

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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.