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Finding the Fourth Proportional to 12,035.52, 18,048 and 5,461.44

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Solution

The fourth proportional to 12,035.52, 18,048 and 5,461.44 is: 8,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.52 : 18,048 = 5,461.44 : x
  2. Step 2: Convert to fraction form
    12,035.52/18,048 = 5,461.44/x
  3. Step 3: Cross multiply
    12,035.52x = 18,048 × 5,461.44
  4. Step 4: Simplify right side
    12,035.52x = 98,568,069.12
  5. Step 5: Solve for x
    x = 98,568,069.12/12,035.52
  6. Step 6: Final answer
    x = 8,189.76

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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.