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Finding the Fourth Proportional to 12,463.24, 17,198.48 and 7,154.32

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Solution

The fourth proportional to 12,463.24, 17,198.48 and 7,154.32 is: 9,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.24 : 17,198.48 = 7,154.32 : x
  2. Step 2: Convert to fraction form
    12,463.24/17,198.48 = 7,154.32/x
  3. Step 3: Cross multiply
    12,463.24x = 17,198.48 × 7,154.32
  4. Step 4: Simplify right side
    12,463.24x = 123,043,429.43
  5. Step 5: Solve for x
    x = 123,043,429.43/12,463.24
  6. Step 6: Final answer
    x = 9,872.51

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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.