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Finding the Fourth Proportional to 12,232.91, 16,880.46 and 7,197.32

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Solution

The fourth proportional to 12,232.91, 16,880.46 and 7,197.32 is: 9,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.91 : 16,880.46 = 7,197.32 : x
  2. Step 2: Convert to fraction form
    12,232.91/16,880.46 = 7,197.32/x
  3. Step 3: Cross multiply
    12,232.91x = 16,880.46 × 7,197.32
  4. Step 4: Simplify right side
    12,232.91x = 121,494,072.37
  5. Step 5: Solve for x
    x = 121,494,072.37/12,232.91
  6. Step 6: Final answer
    x = 9,931.74

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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.