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Finding the Fourth Proportional to 12,422, 17,133.68 and 8,171.72

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Solution

The fourth proportional to 12,422, 17,133.68 and 8,171.72 is: 11,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422 : 17,133.68 = 8,171.72 : x
  2. Step 2: Convert to fraction form
    12,422/17,133.68 = 8,171.72/x
  3. Step 3: Cross multiply
    12,422x = 17,133.68 × 8,171.72
  4. Step 4: Simplify right side
    12,422x = 140,011,635.53
  5. Step 5: Solve for x
    x = 140,011,635.53/12,422
  6. Step 6: Final answer
    x = 11,271.26

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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.