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Finding the Fourth Proportional to 22,609.66, 31,201.41 and 12,538.27

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Solution

The fourth proportional to 22,609.66, 31,201.41 and 12,538.27 is: 17,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.66 : 31,201.41 = 12,538.27 : x
  2. Step 2: Convert to fraction form
    22,609.66/31,201.41 = 12,538.27/x
  3. Step 3: Cross multiply
    22,609.66x = 31,201.41 × 12,538.27
  4. Step 4: Simplify right side
    22,609.66x = 391,211,702.96
  5. Step 5: Solve for x
    x = 391,211,702.96/22,609.66
  6. Step 6: Final answer
    x = 17,302.86

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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.