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Finding the Fourth Proportional to 22,564.50, 31,139.09 and 12,493.64

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Solution

The fourth proportional to 22,564.50, 31,139.09 and 12,493.64 is: 17,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.50 : 31,139.09 = 12,493.64 : x
  2. Step 2: Convert to fraction form
    22,564.50/31,139.09 = 12,493.64/x
  3. Step 3: Cross multiply
    22,564.50x = 31,139.09 × 12,493.64
  4. Step 4: Simplify right side
    22,564.50x = 389,040,362.22
  5. Step 5: Solve for x
    x = 389,040,362.22/22,564.50
  6. Step 6: Final answer
    x = 17,241.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.