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Finding the Fourth Proportional to 12,232.82, 16,880.91 and 7,197.86

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Solution

The fourth proportional to 12,232.82, 16,880.91 and 7,197.86 is: 9,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.82 : 16,880.91 = 7,197.86 : x
  2. Step 2: Convert to fraction form
    12,232.82/16,880.91 = 7,197.86/x
  3. Step 3: Cross multiply
    12,232.82x = 16,880.91 × 7,197.86
  4. Step 4: Simplify right side
    12,232.82x = 121,506,442.06
  5. Step 5: Solve for x
    x = 121,506,442.06/12,232.82
  6. Step 6: Final answer
    x = 9,932.82

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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.