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Finding the Fourth Proportional to 12,030.66, 18,033.57 and 5,781.24

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Solution

The fourth proportional to 12,030.66, 18,033.57 and 5,781.24 is: 8,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.66 : 18,033.57 = 5,781.24 : x
  2. Step 2: Convert to fraction form
    12,030.66/18,033.57 = 5,781.24/x
  3. Step 3: Cross multiply
    12,030.66x = 18,033.57 × 5,781.24
  4. Step 4: Simplify right side
    12,030.66x = 104,256,396.23
  5. Step 5: Solve for x
    x = 104,256,396.23/12,030.66
  6. Step 6: Final answer
    x = 8,665.89

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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.