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Finding the Fourth Proportional to 22,538.52, 31,096.17 and 13,588.83

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Solution

The fourth proportional to 22,538.52, 31,096.17 and 13,588.83 is: 18,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.52 : 31,096.17 = 13,588.83 : x
  2. Step 2: Convert to fraction form
    22,538.52/31,096.17 = 13,588.83/x
  3. Step 3: Cross multiply
    22,538.52x = 31,096.17 × 13,588.83
  4. Step 4: Simplify right side
    22,538.52x = 422,560,567.78
  5. Step 5: Solve for x
    x = 422,560,567.78/22,538.52
  6. Step 6: Final answer
    x = 18,748.37

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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.