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Finding the Fourth Proportional to 22,564.61, 31,139.43 and 12,493.97

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Solution

The fourth proportional to 22,564.61, 31,139.43 and 12,493.97 is: 17,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.61 : 31,139.43 = 12,493.97 : x
  2. Step 2: Convert to fraction form
    22,564.61/31,139.43 = 12,493.97/x
  3. Step 3: Cross multiply
    22,564.61x = 31,139.43 × 12,493.97
  4. Step 4: Simplify right side
    22,564.61x = 389,055,104.24
  5. Step 5: Solve for x
    x = 389,055,104.24/22,564.61
  6. Step 6: Final answer
    x = 17,241.83

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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.