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Finding the Fourth Proportional to 12,468.24, 17,206.83 and 7,163.40

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Solution

The fourth proportional to 12,468.24, 17,206.83 and 7,163.40 is: 9,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.24 : 17,206.83 = 7,163.40 : x
  2. Step 2: Convert to fraction form
    12,468.24/17,206.83 = 7,163.40/x
  3. Step 3: Cross multiply
    12,468.24x = 17,206.83 × 7,163.40
  4. Step 4: Simplify right side
    12,468.24x = 123,259,406.02
  5. Step 5: Solve for x
    x = 123,259,406.02/12,468.24
  6. Step 6: Final answer
    x = 9,885.87

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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.