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Finding the Fourth Proportional to 12,431.80, 18,647.70 and 7,175.80

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Solution

The fourth proportional to 12,431.80, 18,647.70 and 7,175.80 is: 10,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.80 : 18,647.70 = 7,175.80 : x
  2. Step 2: Convert to fraction form
    12,431.80/18,647.70 = 7,175.80/x
  3. Step 3: Cross multiply
    12,431.80x = 18,647.70 × 7,175.80
  4. Step 4: Simplify right side
    12,431.80x = 133,812,165.66
  5. Step 5: Solve for x
    x = 133,812,165.66/12,431.80
  6. Step 6: Final answer
    x = 10,763.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.