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Finding the Fourth Proportional to 12,022.74, 18,034.14 and 6,175.62

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Solution

The fourth proportional to 12,022.74, 18,034.14 and 6,175.62 is: 9,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.74 : 18,034.14 = 6,175.62 : x
  2. Step 2: Convert to fraction form
    12,022.74/18,034.14 = 6,175.62/x
  3. Step 3: Cross multiply
    12,022.74x = 18,034.14 × 6,175.62
  4. Step 4: Simplify right side
    12,022.74x = 111,371,995.67
  5. Step 5: Solve for x
    x = 111,371,995.67/12,022.74
  6. Step 6: Final answer
    x = 9,263.45

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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.