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Finding the Fourth Proportional to 12,540.09, 18,795.48 and 9,222.42

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Solution

The fourth proportional to 12,540.09, 18,795.48 and 9,222.42 is: 13,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.09 : 18,795.48 = 9,222.42 : x
  2. Step 2: Convert to fraction form
    12,540.09/18,795.48 = 9,222.42/x
  3. Step 3: Cross multiply
    12,540.09x = 18,795.48 × 9,222.42
  4. Step 4: Simplify right side
    12,540.09x = 173,339,810.66
  5. Step 5: Solve for x
    x = 173,339,810.66/12,540.09
  6. Step 6: Final answer
    x = 13,822.85

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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.