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Finding the Fourth Proportional to 12,443.95, 17,175 and 7,142.23

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Solution

The fourth proportional to 12,443.95, 17,175 and 7,142.23 is: 9,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.95 : 17,175 = 7,142.23 : x
  2. Step 2: Convert to fraction form
    12,443.95/17,175 = 7,142.23/x
  3. Step 3: Cross multiply
    12,443.95x = 17,175 × 7,142.23
  4. Step 4: Simplify right side
    12,443.95x = 122,667,800.25
  5. Step 5: Solve for x
    x = 122,667,800.25/12,443.95
  6. Step 6: Final answer
    x = 9,857.63

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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.