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Finding the Fourth Proportional to 12,509.54, 18,773.22 and 9,231.20

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Solution

The fourth proportional to 12,509.54, 18,773.22 and 9,231.20 is: 13,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.54 : 18,773.22 = 9,231.20 : x
  2. Step 2: Convert to fraction form
    12,509.54/18,773.22 = 9,231.20/x
  3. Step 3: Cross multiply
    12,509.54x = 18,773.22 × 9,231.20
  4. Step 4: Simplify right side
    12,509.54x = 173,299,348.46
  5. Step 5: Solve for x
    x = 173,299,348.46/12,509.54
  6. Step 6: Final answer
    x = 13,853.37

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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.