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Finding the Fourth Proportional to 12,175.35, 18,263.70 and 3,410.94

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Solution

The fourth proportional to 12,175.35, 18,263.70 and 3,410.94 is: 5,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.35 : 18,263.70 = 3,410.94 : x
  2. Step 2: Convert to fraction form
    12,175.35/18,263.70 = 3,410.94/x
  3. Step 3: Cross multiply
    12,175.35x = 18,263.70 × 3,410.94
  4. Step 4: Simplify right side
    12,175.35x = 62,296,384.88
  5. Step 5: Solve for x
    x = 62,296,384.88/12,175.35
  6. Step 6: Final answer
    x = 5,116.60

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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.