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Finding the Fourth Proportional to 22,588.98, 31,171.94 and 13,029.27

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Solution

The fourth proportional to 22,588.98, 31,171.94 and 13,029.27 is: 17,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588.98 : 31,171.94 = 13,029.27 : x
  2. Step 2: Convert to fraction form
    22,588.98/31,171.94 = 13,029.27/x
  3. Step 3: Cross multiply
    22,588.98x = 31,171.94 × 13,029.27
  4. Step 4: Simplify right side
    22,588.98x = 406,147,489.50
  5. Step 5: Solve for x
    x = 406,147,489.50/22,588.98
  6. Step 6: Final answer
    x = 17,979.90

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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.