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Finding the Fourth Proportional to 12,287.44, 18,434.32 and 3,522.96

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Solution

The fourth proportional to 12,287.44, 18,434.32 and 3,522.96 is: 5,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.44 : 18,434.32 = 3,522.96 : x
  2. Step 2: Convert to fraction form
    12,287.44/18,434.32 = 3,522.96/x
  3. Step 3: Cross multiply
    12,287.44x = 18,434.32 × 3,522.96
  4. Step 4: Simplify right side
    12,287.44x = 64,943,371.99
  5. Step 5: Solve for x
    x = 64,943,371.99/12,287.44
  6. Step 6: Final answer
    x = 5,285.35

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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.