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Finding the Fourth Proportional to 12,175.66, 18,260.70 and 3,411.46

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Solution

The fourth proportional to 12,175.66, 18,260.70 and 3,411.46 is: 5,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.66 : 18,260.70 = 3,411.46 : x
  2. Step 2: Convert to fraction form
    12,175.66/18,260.70 = 3,411.46/x
  3. Step 3: Cross multiply
    12,175.66x = 18,260.70 × 3,411.46
  4. Step 4: Simplify right side
    12,175.66x = 62,295,647.62
  5. Step 5: Solve for x
    x = 62,295,647.62/12,175.66
  6. Step 6: Final answer
    x = 5,116.41

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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.