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Finding the Fourth Proportional to 22,874.82, 31,567.41 and 12,804.19

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Solution

The fourth proportional to 22,874.82, 31,567.41 and 12,804.19 is: 17,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.82 : 31,567.41 = 12,804.19 : x
  2. Step 2: Convert to fraction form
    22,874.82/31,567.41 = 12,804.19/x
  3. Step 3: Cross multiply
    22,874.82x = 31,567.41 × 12,804.19
  4. Step 4: Simplify right side
    22,874.82x = 404,195,115.45
  5. Step 5: Solve for x
    x = 404,195,115.45/22,874.82
  6. Step 6: Final answer
    x = 17,669.87

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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.